765313056 has 96 divisors (see below), whose sum is σ = 2241691200. Its totient is φ = 254016000.

The previous prime is 765313019. The next prime is 765313117. The reversal of 765313056 is 650313567.

It is a happy number.

765313056 is a `hidden beast` number, since 76 + 531 + 3 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 765313056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215100 + ... + 218628.

It is an arithmetic number, because the mean of its divisors is an integer number (23350950).

Almost surely, 2^765313056 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 765313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120845600).

765313056 is an abundant number, since it is smaller than the sum of its proper divisors (1476378144).

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

765313056 is a wasteful number, since it uses less digits than its factorization.

765313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 765313056 is about 27664.2920748029. The cubic root of 765313056 is about 914.7021658976.

The spelling of 765313056 in words is "seven hundred sixty-five million, three hundred thirteen thousand, fifty-six".