769328560 has 240 divisors, whose sum is σ = 2418059520. Its totient is φ = 221045760.

The previous prime is 769328543. The next prime is 769328579. The reversal of 769328560 is 65823967.

769328560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 769328560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040671 + ... + 1041409.

It is an arithmetic number, because the mean of its divisors is an integer number (10075248).

Almost surely, 2^769328560 is an apocalyptic number.

769328560 is a gapful number since it is divisible by the number (70) 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 769328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209029760).

769328560 is an abundant number, since it is smaller than the sum of its proper divisors (1648730960).

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

769328560 is a wasteful number, since it uses less digits than its factorization.

769328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 769328560 is about 27736.7727033986. The cubic root of 769328560 is about 916.2991528766.

The spelling of 769328560 in words is "seven hundred sixty-nine million, three hundred twenty-eight thousand, five hundred sixty".