768864 has 24 divisors (see below), whose sum is σ = 2018520. Its totient is φ = 256256.

The previous prime is 768857. The next prime is 768869. The reversal of 768864 is 468867.

It is a tau number, because it is divible by the number of its divisors (24).

768864 is a modest number, since divided by 864 gives 768 as remainder.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768869) by changing a digit.

768864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3909 + ... + 4100.

It is an arithmetic number, because the mean of its divisors is an integer number (84105).

2⁷⁶⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

768864 is an abundant number, since it is smaller than the sum of its proper divisors (1249656).

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

768864 is a wasteful number, since it uses less digits than its factorization.

768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8014 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 768864 is about 876.8489037457. The cubic root of 768864 is about 91.6114679616.

The spelling of 768864 in words is "seven hundred sixty-eight thousand, eight hundred sixty-four".