768964 has 24 divisors (see below), whose sum is σ = 1592640. Its totient is φ = 317856.

The previous prime is 768953. The next prime is 768979. The reversal of 768964 is 469867.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 1285.

It is an arithmetic number, because the mean of its divisors is an integer number (66360).

2⁷⁶⁸⁹⁶⁴ 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 768964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796320).

768964 is an abundant number, since it is smaller than the sum of its proper divisors (823676).

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

768964 is a wasteful number, since it uses less digits than its factorization.

768964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 768964 is about 876.9059242587. The cubic root of 768964 is about 91.6154395134.

The spelling of 768964 in words is "seven hundred sixty-eight thousand, nine hundred sixty-four".