764133360 has 80 divisors (see below), whose sum is σ = 2376216960. Its totient is φ = 203132160.

The previous prime is 764133341. The next prime is 764133371. The reversal of 764133360 is 63331467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74631 + ... + 84249.

It is an arithmetic number, because the mean of its divisors is an integer number (29702712).

Almost surely, 2^764133360 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 764133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188108480).

764133360 is an abundant number, since it is smaller than the sum of its proper divisors (1612083600).

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

764133360 is a wasteful number, since it uses less digits than its factorization.

764133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 764133360 is about 27642.9622146397. The cubic root of 764133360 is about 914.2319333134.

The spelling of 764133360 in words is "seven hundred sixty-four million, one hundred thirty-three thousand, three hundred sixty".