772808256 has 224 divisors, whose sum is σ = 2507894400. Its totient is φ = 231413760.

The previous prime is 772808227. The next prime is 772808291. The reversal of 772808256 is 652808277.

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, 2071686 + ... + 2072058.

Almost surely, 2^772808256 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 772808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253947200).

772808256 is an abundant number, since it is smaller than the sum of its proper divisors (1735086144).

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

772808256 is a wasteful number, since it uses less digits than its factorization.

772808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 772808256 is about 27799.4290588854. The cubic root of 772808256 is about 917.6785580555.

The spelling of 772808256 in words is "seven hundred seventy-two million, eight hundred eight thousand, two hundred fifty-six".