79835500800 has 864 divisors, whose sum is σ = 323399717760. Its totient is φ = 19110297600.

The previous prime is 79835500777. The next prime is 79835500831. The reversal of 79835500800 is 800553897.

79835500800 is a `hidden beast` number, since 7 + 98 + 3 + 550 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184377384 + ... + 184377816.

Almost surely, 2^79835500800 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 79835500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161699858880).

79835500800 is an abundant number, since it is smaller than the sum of its proper divisors (243564216960).

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

79835500800 is a wasteful number, since it uses less digits than its factorization.

79835500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 79835500800 in words is "seventy-nine billion, eight hundred thirty-five million, five hundred thousand, eight hundred".