764138304 has 168 divisors, whose sum is σ = 2353071240. Its totient is φ = 236224512.

The previous prime is 764138303. The next prime is 764138317. The reversal of 764138304 is 403831467.

764138304 is a `hidden beast` number, since 7 + 641 + 3 + 8 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214329600 + 549808704 = 14640^2 + 23448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764138303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714282 + ... + 715350.

Almost surely, 2^764138304 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 764138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176535620).

764138304 is an abundant number, since it is smaller than the sum of its proper divisors (1588932936).

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

764138304 is a wasteful number, since it uses less digits than its factorization.

764138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 764138304 is about 27643.0516405118. The cubic root of 764138304 is about 914.2339050255.

The spelling of 764138304 in words is "seven hundred sixty-four million, one hundred thirty-eight thousand, three hundred four".