799777399680 has 768 divisors, whose sum is σ = 3197675520000. Its totient is φ = 180425097216.

The previous prime is 799777399661. The next prime is 799777399691. The reversal of 799777399680 is 86993777997.

799777399680 is a `hidden beast` number, since 79 + 97 + 77 + 399 + 6 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 799777399680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1602760071 + ... + 1602760569.

It is an arithmetic number, because the mean of its divisors is an integer number (4163640000).

Almost surely, 2^799777399680 is an apocalyptic number.

799777399680 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 799777399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598837760000).

799777399680 is an abundant number, since it is smaller than the sum of its proper divisors (2397898120320).

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

799777399680 is a wasteful number, since it uses less digits than its factorization.

799777399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2268426384, while the sum is 81.

The spelling of 799777399680 in words is "seven hundred ninety-nine billion, seven hundred seventy-seven million, three hundred ninety-nine thousand, six hundred eighty".