766528 has 56 divisors (see below), whose sum is σ = 1828800. Its totient is φ = 311808.

The previous prime is 766511. The next prime is 766531. The reversal of 766528 is 825667.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 766493 and 766502.

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, 12963 + ... + 13021.

2⁷⁶⁶⁵²⁸ 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 766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914400).

766528 is an abundant number, since it is smaller than the sum of its proper divisors (1062272).

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

766528 is a wasteful number, since it uses less digits than its factorization.

766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 766528 is about 875.5158479434. The cubic root of 766528 is about 91.5185943677.

The spelling of 766528 in words is "seven hundred sixty-six thousand, five hundred twenty-eight".