765864 has 48 divisors (see below), whose sum is σ = 2265120. Its totient is φ = 231840.

The previous prime is 765859. The next prime is 765881. The reversal of 765864 is 468567.

It is a happy number.

765864 is a `hidden beast` number, since 76 + 586 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 765864.

It is an unprimeable number.

765864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (47190).

2⁷⁶⁵⁸⁶⁴ 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 765864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132560).

765864 is an abundant number, since it is smaller than the sum of its proper divisors (1499256).

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

765864 is a wasteful number, since it uses less digits than its factorization.

765864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 765864 is about 875.1365607721. The cubic root of 765864 is about 91.4921609337.

The spelling of 765864 in words is "seven hundred sixty-five thousand, eight hundred sixty-four".