765970128 has 160 divisors (see below), whose sum is σ = 2741253120. Its totient is φ = 198944640.

The previous prime is 765970097. The next prime is 765970133. The reversal of 765970128 is 821079567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21751 + ... + 44777.

It is an arithmetic number, because the mean of its divisors is an integer number (17132832).

Almost surely, 2^765970128 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 765970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370626560).

765970128 is an abundant number, since it is smaller than the sum of its proper divisors (1975282992).

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

765970128 is a wasteful number, since it uses less digits than its factorization.

765970128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23062 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 765970128 is about 27676.1653413185. The cubic root of 765970128 is about 914.9638685007.

The spelling of 765970128 in words is "seven hundred sixty-five million, nine hundred seventy thousand, one hundred twenty-eight".