765008755056 has 540 divisors, whose sum is σ = 2738319249744. Its totient is φ = 195210362880.

The previous prime is 765008754959. The next prime is 765008755097. The reversal of 765008755056 is 650557800567.

765008755056 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 0 + 87 + 550 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 765008754993 and 765008755011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 163705936 + ... + 163710608.

Almost surely, 2^765008755056 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 765008755056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369159624872).

765008755056 is an abundant number, since it is smaller than the sum of its proper divisors (1973310494688).

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

765008755056 is a wasteful number, since it uses less digits than its factorization.

765008755056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 765008755056 in words is "seven hundred sixty-five billion, eight million, seven hundred fifty-five thousand, fifty-six".