765916656 has 80 divisors (see below), whose sum is σ = 2012371200. Its totient is φ = 250988544.

The previous prime is 765916649. The next prime is 765916661. The reversal of 765916656 is 656619567.

Its product of digits (2041200) is a multiple of the sum of its prime divisors (1200).

It is a junction number, because it is equal to n+sod(n) for n = 765916599 and 765916608.

It is a congruent number.

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, 832965 + ... + 833883.

It is an arithmetic number, because the mean of its divisors is an integer number (25154640).

Almost surely, 2^765916656 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 765916656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006185600).

765916656 is an abundant number, since it is smaller than the sum of its proper divisors (1246454544).

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

765916656 is a wasteful number, since it uses less digits than its factorization.

765916656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The square root of 765916656 is about 27675.1992946754. The cubic root of 765916656 is about 914.9425769452.

The spelling of 765916656 in words is "seven hundred sixty-five million, nine hundred sixteen thousand, six hundred fifty-six".