779108268420 has 288 divisors, whose sum is σ = 2555384832000. Its totient is φ = 191646943488.

The previous prime is 779108268409. The next prime is 779108268427. The reversal of 779108268420 is 24862801977.

It is a happy number.

779108268420 is a `hidden beast` number, since 7 + 79 + 10 + 82 + 68 + 420 = 666.

779108268420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (779108268427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14035881 + ... + 14091279.

It is an arithmetic number, because the mean of its divisors is an integer number (8872864000).

Almost surely, 2^779108268420 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 779108268420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277692416000).

779108268420 is an abundant number, since it is smaller than the sum of its proper divisors (1776276563580).

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

779108268420 is a wasteful number, since it uses less digits than its factorization.

779108268420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55559 (or 55554 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 779108268420 in words is "seven hundred seventy-nine billion, one hundred eight million, two hundred sixty-eight thousand, four hundred twenty".