764928 has 66 divisors (see below), whose sum is σ = 2235324. Its totient is φ = 251904.

The previous prime is 764903. The next prime is 764947. The reversal of 764928 is 829467.

764928 is a `hidden beast` number, since 7 + 649 + 2 + 8 = 666.

It is a super-2 number, since 2×764928² = 1170229690368, which contains 22 as substring.

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 = 764892 and 764901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9175 + ... + 9257.

764928 is a Friedman number, since it can be written as 96^2*(87-4), using all its digits and the basic arithmetic operations.

2⁷⁶⁴⁹²⁸ 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 764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117662).

764928 is an abundant number, since it is smaller than the sum of its proper divisors (1470396).

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

764928 is a wasteful number, since it uses less digits than its factorization.

764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 764928 is about 874.6016235979. The cubic root of 764928 is about 91.4548733852.

The spelling of 764928 in words is "seven hundred sixty-four thousand, nine hundred twenty-eight".