769572864 has 180 divisors, whose sum is σ = 2361583224. Its totient is φ = 240648192.

The previous prime is 769572857. The next prime is 769572899. The reversal of 769572864 is 468275967.

769572864 is a `hidden beast` number, since 7 + 6 + 9 + 572 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 769572864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506599 + ... + 2506905.

Almost surely, 2^769572864 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 769572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180791612).

769572864 is an abundant number, since it is smaller than the sum of its proper divisors (1592010360).

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

769572864 is a wasteful number, since it uses less digits than its factorization.

769572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 769572864 is about 27741.1763268972. The cubic root of 769572864 is about 916.3961343522.

The spelling of 769572864 in words is "seven hundred sixty-nine million, five hundred seventy-two thousand, eight hundred sixty-four".