765696048 has 320 divisors, whose sum is σ = 2474841600. Its totient is φ = 201277440.

The previous prime is 765696047. The next prime is 765696073. The reversal of 765696048 is 840696567.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (765696047) 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 63 ways as a sum of consecutive naturals, for example, 5844943 + ... + 5845073.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^765696048 is an apocalyptic number.

765696048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

765696048 is an abundant number, since it is smaller than the sum of its proper divisors (1709145552).

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

765696048 is a wasteful number, since it uses less digits than its factorization.

765696048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 765696048 is about 27671.2133452800. The cubic root of 765696048 is about 914.8547244647.

The spelling of 765696048 in words is "seven hundred sixty-five million, six hundred ninety-six thousand, forty-eight".