764552256 has 224 divisors, whose sum is σ = 2313163776. Its totient is φ = 221184000.

The previous prime is 764552231. The next prime is 764552263. The reversal of 764552256 is 652255467.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172296 + ... + 3172536.

It is an arithmetic number, because the mean of its divisors is an integer number (10326624).

Almost surely, 2^764552256 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 764552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156581888).

764552256 is an abundant number, since it is smaller than the sum of its proper divisors (1548611520).

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

764552256 is a wasteful number, since it uses less digits than its factorization.

764552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 764552256 is about 27650.5380779471. The cubic root of 764552256 is about 914.3989626832.

The spelling of 764552256 in words is "seven hundred sixty-four million, five hundred fifty-two thousand, two hundred fifty-six".