765608928 has 96 divisors (see below), whose sum is σ = 2343801600. Its totient is φ = 218736000.

The previous prime is 765608927. The next prime is 765608939. The reversal of 765608928 is 829806567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765608927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21303 + ... + 44553.

It is an arithmetic number, because the mean of its divisors is an integer number (24414600).

Almost surely, 2^765608928 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 765608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171900800).

765608928 is an abundant number, since it is smaller than the sum of its proper divisors (1578192672).

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

765608928 is a wasteful number, since it uses less digits than its factorization.

765608928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23285 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 765608928 is about 27669.6391013689. The cubic root of 765608928 is about 914.8200261155.

The spelling of 765608928 in words is "seven hundred sixty-five million, six hundred eight thousand, nine hundred twenty-eight".