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799968864 = 253171034759
BaseRepresentation
bin101111101011101…
…000111001100000
32001202021121222110
4233223220321200
53114243000424
6211214035320
725552423512
oct5753507140
92052247873
10799968864
1138061a4a2
121a3aa8b40
13c9971976
147835bbb2
154a36cc29
hex2fae8e60

799968864 has 96 divisors (see below), whose sum is σ = 2245501440. Its totient is φ = 248481792.

The previous prime is 799968859. The next prime is 799968899. The reversal of 799968864 is 468869997.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 799968795 and 799968804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165717 + ... + 170475.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2799968864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

799968864 is an abundant number, since it is smaller than the sum of its proper divisors (1445532576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

799968864 is a wasteful number, since it uses less digits than its factorization.

799968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4884 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The square root of 799968864 is about 28283.7208301878. The cubic root of 799968864 is about 928.3057231905.

The spelling of 799968864 in words is "seven hundred ninety-nine million, nine hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 136 204 206 272 309 408 412 544 618 816 824 1236 1632 1648 1751 2472 3296 3502 4759 4944 5253 7004 9518 9888 10506 14008 14277 19036 21012 28016 28554 38072 42024 56032 57108 76144 80903 84048 114216 152288 161806 168096 228432 242709 323612 456864 485418 490177 647224 970836 980354 1294448 1470531 1941672 1960708 2588896 2941062 3883344 3921416 5882124 7766688 7842832 8333009 11764248 15685664 16666018 23528496 24999027 33332036 47056992 49998054 66664072 99996108 133328144 199992216 266656288 399984432 799968864