779984140320 has 1728 divisors, whose sum is σ = 3530280499200. Its totient is φ = 156473856000.

The previous prime is 779984140319. The next prime is 779984140361. The reversal of 779984140320 is 23041489977.

779984140320 is a `hidden beast` number, since 77 + 99 + 84 + 1 + 403 + 2 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1852693710 + ... + 1852694130.

It is an arithmetic number, because the mean of its divisors is an integer number (2042986400).

Almost surely, 2^779984140320 is an apocalyptic number.

779984140320 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 779984140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765140249600).

779984140320 is an abundant number, since it is smaller than the sum of its proper divisors (2750296358880).

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

779984140320 is a wasteful number, since it uses less digits than its factorization.

779984140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

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

The spelling of 779984140320 in words is "seven hundred seventy-nine billion, nine hundred eighty-four million, one hundred forty thousand, three hundred twenty".