764080164 has 81 divisors (see below), whose sum is σ = 2059320081. Its totient is φ = 238826880.

The previous prime is 764080151. The next prime is 764080189. The reversal of 764080164 is 461080467.

The square root of 764080164 is 27642.

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

764080164 is a `hidden beast` number, since 7 + 640 + 8 + 0 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 594872100 + 169208064 = 24390^2 + 13008^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2819349 + ... + 2819619.

Almost surely, 2^764080164 is an apocalyptic number.

764080164 is the 27642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764080164

764080164 is an abundant number, since it is smaller than the sum of its proper divisors (1295239917).

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

764080164 is a wasteful number, since it uses less digits than its factorization.

764080164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

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

The cubic root of 764080164 is about 914.2107177277.

Multiplying 764080164 by its sum of digits (36), we get a square (27506885904 = 165852²).

764080164 divided by its sum of digits (36) gives a square (21224449 = 4607²).

The spelling of 764080164 in words is "seven hundred sixty-four million, eighty thousand, one hundred sixty-four".