764088320 has 52 divisors (see below), whose sum is σ = 1833637260. Its totient is φ = 305627136.

The previous prime is 764088271. The next prime is 764088329. The reversal of 764088320 is 23880467.

It can be written as a sum of positive squares in 2 ways, for example, as 323424256 + 440664064 = 17984^2 + 20992^2 .

It is not an unprimeable number, because it can be changed into a prime (764088329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1826 + ... + 39134.

It is an arithmetic number, because the mean of its divisors is an integer number (35262255).

Almost surely, 2^764088320 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 764088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916818630).

764088320 is an abundant number, since it is smaller than the sum of its proper divisors (1069548940).

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

764088320 is an equidigital number, since it uses as much as digits as its factorization.

764088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37338 (or 37316 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 764088320 is about 27642.1475287287. The cubic root of 764088320 is about 914.2139705609.

The spelling of 764088320 in words is "seven hundred sixty-four million, eighty-eight thousand, three hundred twenty".