779264113680 has 320 divisors, whose sum is σ = 3042742752000. Its totient is φ = 181723004928.

The previous prime is 779264113673. The next prime is 779264113741. The reversal of 779264113680 is 86311462977.

779264113680 is a `hidden beast` number, since 7 + 7 + 9 + 264 + 11 + 368 + 0 = 666.

779264113680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196785 + ... + 1263824.

It is an arithmetic number, because the mean of its divisors is an integer number (9508571100).

Almost surely, 2^779264113680 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 779264113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521371376000).

779264113680 is an abundant number, since it is smaller than the sum of its proper divisors (2263478638320).

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

779264113680 is a wasteful number, since it uses less digits than its factorization.

779264113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460663 (or 1460651 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 779264113680 in words is "seven hundred seventy-nine billion, two hundred sixty-four million, one hundred thirteen thousand, six hundred eighty".