765960976 has 135 divisors (see below), whose sum is σ = 1780925727. Its totient is φ = 318827520.

The previous prime is 765960947. The next prime is 765960977. The reversal of 765960976 is 679069567.

The square root of 765960976 is 27676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 356303376 + 409657600 = 18876^2 + 20240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (765960977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20701630 + ... + 20701666.

Almost surely, 2^765960976 is an apocalyptic number.

765960976 is the 27676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765960976

765960976 is an abundant number, since it is smaller than the sum of its proper divisors (1014964751).

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

765960976 is a wasteful number, since it uses less digits than its factorization.

765960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 55.

The cubic root of 765960976 is about 914.9602244149.

It can be divided in two parts, 7659 and 60976, that added together give a triangular number (68635 = T₃₇₀).

The spelling of 765960976 in words is "seven hundred sixty-five million, nine hundred sixty thousand, nine hundred seventy-six".