799608704400 has 540 divisors, whose sum is σ = 3163069088816. Its totient is φ = 193841683200.

The previous prime is 799608704399. The next prime is 799608704413. The reversal of 799608704400 is 4407806997.

It is a happy number.

799608704400 is a `hidden beast` number, since 79 + 9 + 60 + 8 + 70 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 107 ways as a sum of consecutive naturals, for example, 11727207 + ... + 11795193.

Almost surely, 2^799608704400 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 799608704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581534544408).

799608704400 is an abundant number, since it is smaller than the sum of its proper divisors (2363460384416).

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

799608704400 is a wasteful number, since it uses less digits than its factorization.

799608704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68042 (or 68008 counting only the distinct ones).

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

The spelling of 799608704400 in words is "seven hundred ninety-nine billion, six hundred eight million, seven hundred four thousand, four hundred".