764896320 has 168 divisors, whose sum is σ = 2641930200. Its totient is φ = 203120640.

The previous prime is 764896309. The next prime is 764896339. The reversal of 764896320 is 23698467.

764896320 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 760435776 = 2112^2 + 27576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1004740 + ... + 1005500.

It is an arithmetic number, because the mean of its divisors is an integer number (15725775).

Almost surely, 2^764896320 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 764896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320965100).

764896320 is an abundant number, since it is smaller than the sum of its proper divisors (1877033880).

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

764896320 is a wasteful number, since it uses less digits than its factorization.

764896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 764896320 is about 27656.7590292138. The cubic root of 764896320 is about 914.5361081301.

The spelling of 764896320 in words is "seven hundred sixty-four million, eight hundred ninety-six thousand, three hundred twenty".