View source for 800 (number)

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'''800''' ('''eight hundred''') is the [[Natural number|natural number]] following [[700 (number)#790s|799]] and preceding [[801 (number)|801]].

It is the sum of four consecutive primes (193 + 197 + 199 + 211). It is a [[Harshad number]], an [[Achilles number]] and the area of a square with diagonal 40.<ref name="area of a square with diagonal 2n">{{cite OEIS|A001105|name=a(n) = 2*n^2}}</ref>

==Integers from 801 to 899==

===800s===
{{Main|801 (number)}}
* 801 = 3<sup>2</sup> × 89, Harshad number, number of clubs patterns appearing in 50 &times; 50 coins<ref>{{OEIS|A229093}}</ref>
* 802 = 2 × 401, sum of eight consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), [[Nontotient|nontotient]], [[Happy number|happy number]], sum of 4 consecutive triangular numbers<ref>{{OEIS|A005893}}</ref> (171 + 190 + 210 + 231)
* 803 = 11 × 73, sum of three consecutive primes (263 + 269 + 271), sum of nine consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), Harshad number, number of partitions of 34 into Fibonacci parts<ref>{{cite OEIS|A003107|Number of partitions of n into Fibonacci parts (with a single type of 1)|access-date=2022-05-25}}</ref>
* 804 = 2<sup>2</sup> × 3 × 67, nontotient, Harshad number, [[Refactorable number|refactorable number]]<ref>{{cite OEIS|A174457|Infinitely refactorable numbers|access-date=2023-10-16}}</ref>
** "The 804" is a local nickname for the Greater Richmond Region of the U.S. state of Virginia, derived from its telephone area code (although the area code covers a larger area).{{cn|reason=Unless '804' appears in the linked article, this should be removed|date=October 2023}}
* 805 = 5 × 7 × 23, [[Sphenic number|sphenic number]], number of partitions of 38 into nonprime parts<ref>{{cite OEIS|A002095|Number of partitions of n into nonprime parts|access-date=2022-05-25}}</ref>
* 806 = 2 × 13 × 31, [[Sphenic number|sphenic number]], nontotient, totient sum for first 51 integers, [[Happy number|happy number]], Phi(51)<ref>{{cite OEIS|A002088|name=Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010|access-date=2022-05-25}}</ref>
* 807 = 3 × 269, antisigma(42)<ref>{{cite OEIS|A024816|Antisigma(n): Sum of the numbers less than n that do not divide n|access-date=2022-05-25}}</ref>
* 808 = 2<sup>3</sup> × 101, [[Refactorable number|refactorable number]], [[Strobogrammatic number|strobogrammatic number]]<ref name=":0">{{Cite OEIS|1=A000787|2=Strobogrammatic numbers|access-date=2016-06-11}}</ref>
* 809 = prime number, Sophie Germain prime,<ref>{{cite OEIS|1=A005384|2=Sophie Germain primes|access-date=2016-06-11}}</ref> [[Chen prime]], [[Eisenstein prime]] with no imaginary part

===810s===
* 810 = 2 × 3<sup>4</sup> × 5, Harshad number, number of distinct reduced words of length 5 in the Coxeter group of "Apollonian reflections" in three dimensions,<ref>{{cite OEIS|A154638|a(n) is the number of distinct reduced words of length n in the Coxeter group of "Apollonian reflections" in three dimensions|access-date=2022-05-25}}</ref> number of non-equivalent ways of expressing 100,000 as the sum of two prime numbers<ref>{{Cite OEIS|1=A065577|2=Number of Goldbach partitions of 10^n|access-date=2023-08-31}}</ref>
* 811 = prime number, sum of five consecutive primes (151 + 157 + 163 + 167 + 173), Chen prime, [[Happy number|happy number]], largest [[Minimal prime (recreational mathematics)|minimal prime]] in base 9, the [[Mertens function]] of 811 returns 0
* 812 = 2<sup>2</sup> × 7 × 29, admirable number, [[Pronic number|pronic number]],<ref name=":1">{{Cite OEIS|1=A002378|2=Oblong (or promic, pronic, or heteromecic) numbers|access-date=2016-06-11}}</ref> balanced number,<ref>{{cite OEIS|A020492|Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203)}}</ref> the Mertens function of 812 returns 0
* 813 = 3 × 271, [[Blum integer|blum integer]] {{OEIS|id=A016105}}
* 814 = 2 × 11 × 37, sphenic number, the Mertens function of 814 returns 0, nontotient, number of fixed hexahexes.
* 815 = 5 × 163, number of graphs with 8 vertices and a distinguished bipartite block<ref>{{cite OEIS|A049312|Number of graphs with a distinguished bipartite block, by number of vertices|access-date=2022-05-25}}</ref>
* 816 = 2<sup>4</sup> × 3 × 17, tetrahedral number,<ref>{{Cite OEIS|1=A000292|2=Tetrahedral numbers|access-date=2016-06-11}}</ref> [[Padovan sequence|Padovan number]],<ref>{{Cite OEIS|1=A000931|2=Padovan sequence|access-date=2016-06-11}}</ref> Zuckerman number
* 817 = 19 × 43, sum of three consecutive primes (269 + 271 + 277), [[Centered hexagonal number|centered hexagonal number]]<ref>{{Cite OEIS|1=A003215|2=Hex (or centered hexagonal) numbers|access-date=2016-06-11}}</ref>
* 818 = 2 × 409, nontotient, [[Strobogrammatic number|strobogrammatic number]]<ref name=":0" />
* 819 = 3<sup>2</sup> × 7 × 13, square pyramidal number<ref>{{Cite OEIS|1=A000330|2=Square pyramidal numbers|access-date=2016-06-11}}</ref>

===820s===
* 820 = 2<sup>2</sup> × 5 × 41, [[Triangular number|triangular number]], smallest triangular number that starts with the digit 8<ref name=":2">{{Cite OEIS|1=A000217|2=Triangular numbers|access-date=2016-06-11}}</ref> Harshad number, [[Happy number|happy number]], repdigit (1111) in base 9
* 821 = prime number, [[Twin prime|twin prime]], Chen prime, Eisenstein prime with no imaginary part, lazy caterer number {{OEIS|id=A000124}}, [[Prime quadruplet|prime quadruplet]] with 823, 827, 829
* 822 = 2 × 3 × 137, sum of twelve consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), sphenic number, member of the [[Mian–Chowla sequence]]<ref>{{Cite OEIS|1=A005282|2=Mian-Chowla sequence|access-date=2016-06-11}}</ref>
* 823 = prime number, [[Twin prime|twin prime]], [[Lucky prime|lucky prime]], the Mertens function of 823 returns 0, prime quadruplet with 821, 827, 829
* 824 = 2<sup>3</sup> × 103, [[Refactorable number|refactorable number]], sum of ten consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103), the Mertens function of 824 returns 0, nontotient
* 825 = 3 × 5<sup>2</sup> × 11, [[Smith number]],<ref name=":3">{{Cite OEIS|1=A006753|2=Smith numbers|access-date=2016-06-11}}</ref> the Mertens function of 825 returns 0, Harshad number
* 826 = 2 × 7 × 59, sphenic number, number of partitions of 29 into parts each of which is used a different number of times<ref>{{cite OEIS|A098859|Number of partitions of n into parts each of which is used a different number of times|access-date=2022-05-25}}</ref>
* 827 = prime number, [[Twin prime|twin prime]], part of prime quadruplet with {821, 823, 829}, sum of seven consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137), Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number<ref name=":4">{{Cite OEIS|1=A016038|2=Strictly non-palindromic numbers|access-date=2016-06-11}}</ref>
* 828 = 2<sup>2</sup> × 3<sup>2</sup> × 23, Harshad number, triangular matchstick number<ref>{{OEIS|A045943|access-date=2022-05-30}}</ref>
* 829 = prime number, [[Twin prime|twin prime]], part of prime quadruplet with {827, 823, 821}, sum of three consecutive primes (271 + 277 + 281), Chen prime, centered triangular number

===830s===
* 830 = 2 × 5 × 83, sphenic number, sum of four consecutive primes (197 + 199 + 211 + 223), nontotient, totient sum for first 52 integers
* 831 = 3 × 277, number of partitions of 32 into at most 5 parts<ref>{{cite OEIS|A001401|Number of partitions of n into at most 5 parts|access-date=2022-05-25}}</ref>
* 832 = 2<sup>6</sup> × 13, Harshad number, member of the sequence Horadam(0, 1, 4, 2)<ref>{{OEIS|A085449}}</ref>
* 833 = 7<sup>2</sup> × 17, octagonal number {{OEIS|id=A000567}}, a centered octahedral number<ref>{{cite OEIS|A001845|Centered octahedral numbers (crystal ball sequence for cubic lattice)|access-date=2022-06-02}}</ref>
* 834 = 2 × 3 × 139, [[Cake number|cake number]], sphenic number, sum of six consecutive primes (127 + 131 + 137 + 139 + 149 + 151), nontotient
* 835 = 5 × 167, [[Motzkin number]]<ref>{{Cite OEIS|1=A001006|2=Motzkin numbers|access-date=2016-06-11}}</ref>

{{Main|836 (number)}}
* 836 = 2<sup>2</sup> × 11 × 19, [[Weird number|weird number]]
* 837 = 3<sup>3</sup> × 31, the 36th generalized heptagonal number<ref>{{cite OEIS|A085787|Generalized heptagonal numbers: m*(5*m - 3)/2, m = 0, +-1, +-2 +-3, ...|access-date=2022-05-30}}</ref>
* 838 = 2 × 419, palindromic number, number of distinct products ijk with 1 <= i<j<k <= 23<ref>{{cite OEIS|A027430|Number of distinct products ijk with 1 <= i<j<k <= n}}</ref>
* 839 = prime number, [[Safe prime|safe prime]],<ref name=":5">{{Cite OEIS|1=A005385|2=Safe primes|access-date=2016-06-11}}</ref> sum of five consecutive primes (157 + 163 + 167 + 173 + 179), Chen prime, Eisenstein prime with no imaginary part, [[Highly cototient number|highly cototient number]]<ref>{{Cite OEIS|1=A100827|2=Highly cototient numbers|access-date=2016-06-11}}</ref>

===840s===
{{Main|840 (number)}}
* 840 = 2<sup>3</sup> × 3 × 5 × 7, [[Highly composite number|highly composite number]],<ref>{{Cite OEIS|1=A002182|2=Highly composite numbers|access-date=2016-06-11}}</ref> smallest number divisible by the numbers 1 to 8 (lowest common multiple of 1 to 8), sparsely totient number,<ref name=":6">{{Cite OEIS|1=A036913|2=Sparsely totient numbers|access-date=2016-06-11}}</ref> Harshad number in base 2 through base 10, [[Idoneal number|idoneal number]], balanced number,<ref>{{cite OEIS|A020492|Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203)}}</ref> sum of a twin prime (419 + 421). With 32 distinct divisors, it is the number below [[1000 (number)|1000]] with the largest amount of divisors. 
* 841 = 29<sup>2</sup> = 20<sup>2</sup> + 21<sup>2</sup>, sum of three consecutive primes (277 + 281 + 283), sum of nine consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), [[Centered square number|centered square number]],<ref>{{Cite OEIS|1=A001844|2=Centered square numbers|access-date=2016-06-11}}</ref> centered heptagonal number,<ref>{{Cite OEIS|1=A069099|2=Centered heptagonal numbers|access-date=2016-06-11}}</ref> centered octagonal number<ref>{{Cite OEIS|1=A016754|2=Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers|access-date=2016-06-11}}</ref>
* 842 = 2 × 421, nontotient, 842!! - 1 is prime,<ref>{{cite OEIS|A007749|Numbers k such that k!! - 1 is prime|access-date=2022-05-24}}</ref> number of series-reduced trees with 18 nodes<ref>{{cite OEIS|A000014|Number of series-reduced trees with n nodes}}</ref>
* 843 = 3 × 281, [[Lucas number]]<ref>{{Cite OEIS|1=A000032|2=Lucas numbers|access-date=2016-06-11}}</ref>
* 844 = 2<sup>2</sup> × 211, nontotient, smallest 5 consecutive integers which are not squarefree are: 844 = 2<sup>2</sup> × 211, 845 = 5 × 13<sup>2</sup>, 846 = 2 × 3<sup>2</sup> × 47, 847 = 7 × 11<sup>2</sup> and 848 = 2<sup>4</sup> × 53 <ref>{{cite OEIS|A045882|Smallest term of first run of (at least) n consecutive integers which are not squarefree|access-date=2022-05-24}}</ref>
* 845 = 5 × 13<sup>2</sup>, concentric pentagonal number,<ref>{{cite OEIS|A032527|Concentric pentagonal numbers: floor( 5*n^2 / 4 )|access-date=2022-05-24}}</ref> number of emergent parts in all partitions of 22 <ref>{{cite OEIS|A182699|Number of emergent parts in all partitions of n|access-date=2022-05-24}}</ref>
* 846 = 2 × 3<sup>2</sup> × 47, sum of eight consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), nontotient, Harshad number
* 847 = 7 × 11<sup>2</sup>, [[Happy number|happy number]], number of partitions of 29 that do not contain 1 as a part<ref>{{cite OEIS|A002865|Number of partitions of n that do not contain 1 as a part|access-date=2022-05-24}}</ref>
* 848 = 2<sup>4</sup> × 53, [[Untouchable number|untouchable number]]
* 849 = 3 × 283, the Mertens function of 849 returns 0, [[Blum integer|blum integer]]

===850s===
* 850 = 2 × 5<sup>2</sup> × 17, the Mertens function of 850 returns 0, nontotient, the sum of the squares of the divisors of 26 is 850 {{OEIS|id=a001157}}. The maximum possible Fair Isaac credit score, country calling code for North Korea
* 851 = 23 × 37, number of compositions of 18 into distinct parts<ref>{{cite OEIS|A032020|Number of compositions (ordered partitions) of n into distinct parts|access-date=2022-05-24}}</ref>
* 852 = 2<sup>2</sup> × 3 × 71, pentagonal number,<ref>{{Cite OEIS|1=A000326|2=Pentagonal numbers|access-date=2016-06-11}}</ref> Smith number<ref name=":3" />
** country calling code for Hong Kong
* 853 = prime number, [[Perrin number]],<ref>{{Cite OEIS|1=A001608|2=Perrin sequence|access-date=2016-06-11}}</ref> the [[Mertens function]] of 853 returns 0, average of first 853 prime numbers is an integer {{OEIS|id=A045345}}, strictly non-palindromic number, number of connected graphs with 7 nodes
** country calling code for Macau
* 854 = 2 × 7 × 61, [[Sphenic number|sphenic number]], nontotient, number of unlabeled planar trees with 11 nodes<ref>{{cite OEIS|A002995|Number of unlabeled planar trees (also called plane trees) with n nodes|access-date=2022-05-24}}</ref>
* 855 = 3<sup>2</sup> × 5 × 19, decagonal number,<ref>{{Cite OEIS|1=A001107|2=10-gonal (or decagonal) numbers|access-date=2016-06-11}}</ref> centered cube number<ref>{{Cite OEIS|1=A005898|2=Centered cube numbers|access-date=2016-06-11}}</ref>
** country calling code for Cambodia
* 856 = 2<sup>3</sup> × 107, nonagonal number,<ref>{{Cite OEIS|1=A001106|2=9-gonal (or enneagonal or nonagonal) numbers|access-date=2016-06-11}}</ref> centered pentagonal number,<ref>{{Cite OEIS|1=A005891|2=Centered pentagonal numbers|access-date=2016-06-11}}</ref> [[Happy number|happy number]], [[Refactorable number|refactorable number]]
** country calling code for Laos
* 857 = prime number, sum of three consecutive primes (281 + 283 + 293), Chen prime, Eisenstein prime with no imaginary part
* 858 = 2 × 3 × 11 × 13, [[Giuga number]]<ref>{{Cite OEIS|1=A007850|2=Giuga numbers|access-date=2016-06-11}}</ref>
* 859 = prime number, number of planar partitions of 11,<ref>{{cite OEIS|A000219|Number of planar partitions (or plane partitions) of n|access-date=2022-05-24}}</ref> prime index prime

===860s===
* 860 = 2<sup>2</sup> × 5 × 43, sum of four consecutive primes (199 + 211 + 223 + 227), Hoax number<ref>{{cite OEIS|A019506|Hoax numbers|access-date=2022-05-24}}</ref>
* 861 = 3 × 7 × 41, sphenic number, triangular number,<ref name=":2" /> hexagonal number,<ref>{{Cite OEIS|1=A000384|2=Hexagonal numbers|access-date=2016-06-11}}</ref> Smith number<ref name=":3" />
* 862 = 2 × 431, lazy caterer number {{OEIS|id=A000124}}
* 863 = prime number, safe prime,<ref name=":5" /> sum of five consecutive primes (163 + 167 + 173 + 179 + 181), sum of seven consecutive primes (107 + 109 + 113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part, index of prime Lucas number<ref>{{cite OEIS|A001606|Indices of prime Lucas numbers}}</ref>
* 864 = 2<sup>5</sup> × 3<sup>3</sup>, [[Achilles number]], sum of a twin prime (431 + 433), sum of six consecutive primes (131 + 137 + 139 + 149 + 151 + 157), Harshad number
* 865 = 5 × 173,
* 866 = 2 × 433, nontotient, number of one-sided noniamonds,<ref>{{Cite OEIS|A006534|access-date=2022-05-10}}</ref> number of cubes of edge length 1 required to make a hollow cube of edge length 13
* 867 = 3 × 17<sup>2</sup>, number of 5-chromatic simple graphs on 8 nodes<ref>{{cite OEIS|A076281|Number of 5-chromatic (i.e., chromatic number equals 5) simple graphs on n nodes|access-date=2022-05-24}}</ref>
* 868 = 2<sup>2</sup> × 7 × 31 = [[Jordan's totient function|J<sub>3</sub>(10)]],<ref>{{cite OEIS|A059376|Jordan function J_3(n)|access-date=2022-05-24}}</ref> nontotient
* 869 = 11 × 79, the Mertens function of 869 returns 0

===870s===
* 870 = 2 × 3 × 5 × 29, sum of ten consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), pronic number,<ref name=":1" /> nontotient, sparsely totient number,<ref name=":6" /> Harshad number
** This number is the [[Magic constant|magic constant]] of ''n''×''n'' normal [[Magic square|magic square]] and [[Eight queens puzzle|''n''-queens problem]] for&nbsp;''n''&nbsp;=&nbsp;12.
* 871 = 13 × 67, thirteenth tridecagonal number
* 872 = 2<sup>3</sup> × 109, [[Refactorable number|refactorable number]], nontotient, 872! + 1 is [[Factorial prime|prime]]
* 873 = 3<sup>2</sup> × 97, sum of the first six factorials from 1
* 874 = 2 × 19 × 23, [[Sphenic number|sphenic number]], sum of the first twenty-three primes, sum of the first seven factorials from 0, nontotient, Harshad number, [[Happy number|happy number]]
* 875 = 5<sup>3</sup> × 7, unique expression as difference of positive cubes:<ref>{{cite OEIS|1=A014439|2=Differences between two positive cubes in exactly 1 way.|access-date=2019-08-18}}</ref> 10<sup>3</sup> - 5<sup>3</sup>
* 876 = 2<sup>2</sup> × 3 × 73, generalized pentagonal number<ref>{{cite OEIS|1=A001318|2=Generalized pentagonal numbers.|access-date=2019-08-26}}</ref>
* 877 = prime number, [[Bell number]],<ref>{{Cite OEIS|1=A000110|2=Bell or exponential numbers|access-date=2016-06-11}}</ref> Chen prime, the Mertens function of 877 returns 0, strictly non-palindromic number,<ref name=":4" /> prime index prime
* 878 = 2 × 439, nontotient, number of Pythagorean triples with hypotenuse < 1000.<ref>{{cite OEIS|1=A101929|2=Number of Pythagorean triples with hypotenuse < 10^n.|access-date=2022-05-11}}</ref>
* 879 = 3 × 293, number of [[Hypergraph#Symmetric hypergraphs|regular hypergraphs]] spanning 4 vertices,<ref>{{cite OEIS|1=A319190|2=Number of regular hypergraphs|access-date=2019-08-18}}</ref> candidate [[Lychrel number|Lychrel]] seed number

===880s===

{{Main|880 (number)}}
* 880 = 2<sup>4</sup> × 5 × 11 = 11!!!,<ref>{{cite OEIS|1=A007661|2=Triple factorial numbers|access-date=2022-05-11}}</ref> Harshad number; 148-gonal number; the number of ''n''×''n'' [[Magic square|magic square]]s for n = 4.
** country calling code for Bangladesh

{{Main|881 (number)}}
* 881 = prime number, [[Twin prime|twin prime]], sum of nine consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part, [[Happy number|happy number]]
* 882 = 2 × 3<sup>2</sup> × 7<sup>2</sup> = <math>\binom{9}{5}_2</math> a [[Trinomial triangle|trinomial coefficient]],<ref>{{cite OEIS|1=A111808|2=Left half of trinomial triangle (A027907), triangle read by rows|access-date=2022-05-11}}</ref> Harshad number, totient sum for first 53 integers, area of a square with diagonal 42<ref name="area of a square with diagonal 2n" />
* 883 = prime number, [[Twin prime|twin prime]], sum of three consecutive primes (283 + 293 + 307), the  Mertens function of 883 returns 0
* 884 = 2<sup>2</sup> × 13 × 17, the Mertens function of 884 returns 0, number of points on surface of tetrahedron with sidelength 21<ref>{{Cite OEIS|1=A005893|2=Number of points on surface of tetrahedron|access-date=2022-05-11}}</ref>
* 885 = 3 × 5 × 59, [[Sphenic number|sphenic number]], number of series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of 7.<ref>{{Cite OEIS|1=A319312|2=Number of series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of n|access-date=2022-05-11}}</ref>
* 886 = 2 × 443, the Mertens function of 886 returns 0
** country calling code for Taiwan
* 887 = prime number followed by primal [[Prime gap|gap]] of 20, safe prime,<ref name=":5" /> Chen prime, Eisenstein prime with no imaginary part

{| style="clear: right" align="right"
| Image:Seven-segment 8.svgImage:Seven-segment 8.svgImage:Seven-segment 8.svg
|}
{{Main|888 (number)}}
* 888 = 2<sup>3</sup> × 3 × 37, sum of eight consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), Harshad number, [[Strobogrammatic number|strobogrammatic number]],<ref name=":0">{{Cite OEIS|1=A000787|2=Strobogrammatic numbers|access-date=2016-06-11}}</ref> [[Happy number|happy number]], 888!! - 1 is prime<ref>{{cite OEIS|A007749|Numbers k such that k!! - 1 is prime|access-date=2022-05-24}}</ref>
* 889 = 7 × 127, the Mertens function of 889 returns 0

===890s===
* 890 = 2 × 5 × 89 = 19<sup>2</sup> + 23<sup>2</sup> (sum of squares of two successive primes),<ref>{{Cite OEIS|1=A069484|2=a(n) = prime(n+1)^2 + prime(n)^2.|access-date=2022-05-11}}</ref> sphenic number, sum of four consecutive primes (211 + 223 + 227 + 229), nontotient
* 891 = 3<sup>4</sup> × 11, sum of five consecutive primes (167 + 173 + 179 + 181 + 191), octahedral number
* 892 = 2<sup>2</sup> × 223, nontotient, number of regions formed by drawing the line segments connecting any two perimeter points of a 6 times 2 grid of squares like [https://oeis.org/A331452/a331452_16.png this] {{OEIS|id=A331452}}.
* 893 = 19 × 47, the Mertens function of 893 returns 0
** Considered an unlucky number in {{wipe|Japan}}, because its digits read sequentially are the literal translation of ''yakuza''.
* 894 = 2 × 3 × 149, sphenic number, nontotient
* 895 = 5 × 179, Smith number,<ref name=":3" /> [[Woodall number]],<ref>{{Cite OEIS|1=A003261|2=Woodall numbers|access-date=2016-06-11}}</ref> the Mertens function of 895 returns 0
* 896 = 2<sup>7</sup> × 7, [[Refactorable number|refactorable number]], sum of six consecutive primes (137 + 139 + 149 + 151 + 157 + 163), the Mertens function of 896 returns 0
* 897 = 3 × 13 × 23, sphenic number, cullen number {{OEIS|id=A002064}}
* 898 = 2 × 449, the Mertens function of 898 returns 0, nontotient
* 899 = 29 × 31 (a [[Twin prime|twin prime]] product),<ref>{{Cite OEIS|1=A037074|2=Numbers that are the product of a pair of twin primes|access-date=2022-05-11}}</ref> [[Happy number|happy number]], smallest number with digitsum 26,<ref>{{Cite OEIS|1=
A051885|2=Smallest number whose sum of digits is n|access-date=2022-05-11}}</ref> number of partitions of 51 into prime parts

==References==
{{Reflist}}

[[Category:Integers]]

{{Sourceattribution|800 (number)}}