807764864 has 64 divisors (see below), whose sum is σ = 1647993600. Its totient is φ = 394268160.

The previous prime is 807764857. The next prime is 807764873. The reversal of 807764864 is 468467708.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123097 + ... + 1123815.

It is an arithmetic number, because the mean of its divisors is an integer number (25749900).

Almost surely, 2^807764864 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 807764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823996800).

807764864 is an abundant number, since it is smaller than the sum of its proper divisors (840228736).

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

807764864 is a wasteful number, since it uses less digits than its factorization.

807764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 807764864 is about 28421.2044783468. The cubic root of 807764864 is about 931.3115437368.

The spelling of 807764864 in words is "eight hundred seven million, seven hundred sixty-four thousand, eight hundred sixty-four".