765876384 has 480 divisors, whose sum is σ = 2950649856. Its totient is φ = 189112320.

The previous prime is 765876313. The next prime is 765876389. The reversal of 765876384 is 483678567.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 765876384.

It is not an unprimeable number, because it can be changed into a prime (765876389) 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 79 ways as a sum of consecutive naturals, for example, 4009729 + ... + 4009919.

Almost surely, 2^765876384 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 765876384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475324928).

765876384 is an abundant number, since it is smaller than the sum of its proper divisors (2184773472).

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

765876384 is a wasteful number, since it uses less digits than its factorization.

765876384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 765876384 is about 27674.4717022746. The cubic root of 765876384 is about 914.9265407299.

The spelling of 765876384 in words is "seven hundred sixty-five million, eight hundred seventy-six thousand, three hundred eighty-four".