799074075600 has 720 divisors, whose sum is σ = 2924081596800. Its totient is φ = 201873408000.

The previous prime is 799074075589. The next prime is 799074075703. The reversal of 799074075600 is 6570470997.

It is a happy number.

799074075600 is a `hidden beast` number, since 7 + 9 + 9 + 0 + 74 + 0 + 7 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 775047085 + ... + 775048115.

It is an arithmetic number, because the mean of its divisors is an integer number (4061224440).

Almost surely, 2^799074075600 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 799074075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462040798400).

799074075600 is an abundant number, since it is smaller than the sum of its proper divisors (2125007521200).

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

799074075600 is a wasteful number, since it uses less digits than its factorization.

799074075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 799074075600 in words is "seven hundred ninety-nine billion, seventy-four million, seventy-five thousand, six hundred".