764411904 has 147 divisors (see below), whose sum is σ = 2292186043. Its totient is φ = 254803968.

The previous prime is 764411873. The next prime is 764411917. The reversal of 764411904 is 409114467.

The square root of 764411904 is 27648.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (2!)².

764411904 is a `hidden beast` number, since 7 + 644 + 1 + 1 + 9 + 0 + 4 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 254803967 + 254803968 + 254803969.

Almost surely, 2^764411904 is an apocalyptic number.

764411904 is the 27648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764411904

764411904 is an abundant number, since it is smaller than the sum of its proper divisors (1527774139).

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

764411904 is an frugal number, since it uses more digits than its factorization.

764411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 5 counting only the distinct ones).

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

The cubic root of 764411904 is about 914.3430059337.

Multiplying 764411904 by its sum of digits (36), we get a square (27518828544 = 165888²).

764411904 divided by its sum of digits (36) gives a square (21233664 = 4608²).

The spelling of 764411904 in words is "seven hundred sixty-four million, four hundred eleven thousand, nine hundred four".