799789564800 has 288 divisors, whose sum is σ = 2873001105000. Its totient is φ = 211844689920.

The previous prime is 799789564727. The next prime is 799789564817. The reversal of 799789564800 is 8465987997.

799789564800 is a `hidden beast` number, since 7 + 9 + 97 + 8 + 9 + 56 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198011 + ... + 4384389.

Almost surely, 2^799789564800 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 799789564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436500552500).

799789564800 is an abundant number, since it is smaller than the sum of its proper divisors (2073211540200).

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

799789564800 is a wasteful number, since it uses less digits than its factorization.

799789564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186558 (or 186538 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 799789564800 in words is "seven hundred ninety-nine billion, seven hundred eighty-nine million, five hundred sixty-four thousand, eight hundred".