785076864 has 384 divisors, whose sum is σ = 2686582080. Its totient is φ = 199557120.

The previous prime is 785076839. The next prime is 785076883. The reversal of 785076864 is 468670587.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27071602 + ... + 27071630.

Almost surely, 2^785076864 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 785076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343291040).

785076864 is an abundant number, since it is smaller than the sum of its proper divisors (1901505216).

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

785076864 is a wasteful number, since it uses less digits than its factorization.

785076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 785076864 is about 28019.2231155684. The cubic root of 785076864 is about 922.5092432296.

The spelling of 785076864 in words is "seven hundred eighty-five million, seventy-six thousand, eight hundred sixty-four".