765882 has 32 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 235440.

The previous prime is 765881. The next prime is 765889. The reversal of 765882 is 288567.

765882 is a `hidden beast` number, since 76 + 588 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (765881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2⁷⁶⁵⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

765882 is an abundant number, since it is smaller than the sum of its proper divisors (1068678).

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

765882 is a wasteful number, since it uses less digits than its factorization.

765882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 765882 is about 875.1468448209. The cubic root of 765882 is about 91.4928777042.

The spelling of 765882 in words is "seven hundred sixty-five thousand, eight hundred eighty-two".