764804160 has 448 divisors, whose sum is σ = 2949488640. Its totient is φ = 185794560.

The previous prime is 764804147. The next prime is 764804167. The reversal of 764804160 is 61408467.

764804160 is a `hidden beast` number, since 7 + 648 + 0 + 4 + 1 + 6 + 0 = 666.

764804160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (764804167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6022017 + ... + 6022143.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^764804160 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 764804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

764804160 is an abundant number, since it is smaller than the sum of its proper divisors (2184684480).

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

764804160 is a wasteful number, since it uses less digits than its factorization.

764804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 764804160 is about 27655.0928401985. The cubic root of 764804160 is about 914.4993767759.

The spelling of 764804160 in words is "seven hundred sixty-four million, eight hundred four thousand, one hundred sixty".