779117901120 has 560 divisors, whose sum is σ = 3080968923648. Its totient is φ = 185593835520.

The previous prime is 779117901091. The next prime is 779117901131. The reversal of 779117901120 is 21109711977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10408467 + ... + 10483053.

Almost surely, 2^779117901120 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 779117901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540484461824).

779117901120 is an abundant number, since it is smaller than the sum of its proper divisors (2301851022528).

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

779117901120 is a wasteful number, since it uses less digits than its factorization.

779117901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74660 (or 74641 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 45.

The spelling of 779117901120 in words is "seven hundred seventy-nine billion, one hundred seventeen million, nine hundred one thousand, one hundred twenty".