764431680 has 224 divisors, whose sum is σ = 2567635200. Its totient is φ = 192299008.

The previous prime is 764431649. The next prime is 764431699. The reversal of 764431680 is 86134467.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964926 + ... + 1965314.

Almost surely, 2^764431680 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 764431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283817600).

764431680 is an abundant number, since it is smaller than the sum of its proper divisors (1803203520).

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

764431680 is a wasteful number, since it uses less digits than its factorization.

764431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 764431680 is about 27648.3576365758. The cubic root of 764431680 is about 914.3508908150.

The spelling of 764431680 in words is "seven hundred sixty-four million, four hundred thirty-one thousand, six hundred eighty".