779056672416 has 144 divisors (see below), whose sum is σ = 2254638212064. Its totient is φ = 235363392000.

The previous prime is 779056672397. The next prime is 779056672441. The reversal of 779056672416 is 614276650977.

779056672416 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 779056672416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3743586 + ... + 3946206.

It is an arithmetic number, because the mean of its divisors is an integer number (15657209806).

Almost surely, 2^779056672416 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 779056672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127319106032).

779056672416 is an abundant number, since it is smaller than the sum of its proper divisors (1475581539648).

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

779056672416 is a wasteful number, since it uses less digits than its factorization.

779056672416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202987 (or 202968 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 779056672416 in words is "seven hundred seventy-nine billion, fifty-six million, six hundred seventy-two thousand, four hundred sixteen".