765828 has 48 divisors (see below), whose sum is σ = 2271360. Its totient is φ = 218592.

The previous prime is 765827. The next prime is 765847. The reversal of 765828 is 828567.

765828 is a `hidden beast` number, since 76 + 582 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 765792 and 765801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 765828.

It is not an unprimeable number, because it can be changed into a prime (765823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 250 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (47320).

2⁷⁶⁵⁸²⁸ 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 765828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135680).

765828 is an abundant number, since it is smaller than the sum of its proper divisors (1505532).

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

765828 is a wasteful number, since it uses less digits than its factorization.

765828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

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

The square root of 765828 is about 875.1159923119. The cubic root of 765828 is about 91.4907273592.

The spelling of 765828 in words is "seven hundred sixty-five thousand, eight hundred twenty-eight".