76768965 has 80 divisors (see below), whose sum is σ = 169454208. Its totient is φ = 32379264.

The previous prime is 76768943. The next prime is 76769023. The reversal of 76768965 is 56986767.

It is a happy number.

It is not a de Polignac number, because 76768965 - 2⁸ = 76768709 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35814 + ... + 37896.

Almost surely, 2^76768965 is an apocalyptic number.

It is an amenable number.

76768965 is an abundant number, since it is smaller than the sum of its proper divisors (92685243).

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

76768965 is a wasteful number, since it uses less digits than its factorization.

76768965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 76768965 is about 8761.7900568320. The cubic root of 76768965 is about 425.0061636938.

It can be divided in two parts, 7676 and 8965, that added together give a square (16641 = 129²).

The spelling of 76768965 in words is "seventy-six million, seven hundred sixty-eight thousand, nine hundred sixty-five".