772765056 has 256 divisors, whose sum is σ = 2761344000. Its totient is φ = 207691776.

The previous prime is 772765027. The next prime is 772765061. The reversal of 772765056 is 650567277.

772765056 is a `hidden beast` number, since 7 + 72 + 76 + 505 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 410325 + ... + 412203.

It is an arithmetic number, because the mean of its divisors is an integer number (10786500).

Almost surely, 2^772765056 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 772765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380672000).

772765056 is an abundant number, since it is smaller than the sum of its proper divisors (1988578944).

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

772765056 is a wasteful number, since it uses less digits than its factorization.

772765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 772765056 is about 27798.6520536518. The cubic root of 772765056 is about 917.6614583191.

The spelling of 772765056 in words is "seven hundred seventy-two million, seven hundred sixty-five thousand, fifty-six".