765013872 has 360 divisors, whose sum is σ = 2617506576. Its totient is φ = 191213568.

The previous prime is 765013841. The next prime is 765013901. The reversal of 765013872 is 278310567.

It is a self number, because there is not a number n which added to its sum of digits gives 765013872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14434198 + ... + 14434250.

Almost surely, 2^765013872 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 765013872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308753288).

765013872 is an abundant number, since it is smaller than the sum of its proper divisors (1852492704).

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

765013872 is a wasteful number, since it uses less digits than its factorization.

765013872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 765013872 is about 27658.8841423511. The cubic root of 765013872 is about 914.5829554561.

The spelling of 765013872 in words is "seven hundred sixty-five million, thirteen thousand, eight hundred seventy-two".