79819084800 has 1848 divisors, whose sum is σ = 372871301376. Its totient is φ = 16482631680.

The previous prime is 79819084799. The next prime is 79819084817. The reversal of 79819084800 is 848091897.

79819084800 is a `hidden beast` number, since 79 + 8 + 1 + 90 + 8 + 480 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1698278377 + ... + 1698278423.

Almost surely, 2^79819084800 is an apocalyptic number.

79819084800 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 79819084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186435650688).

79819084800 is an abundant number, since it is smaller than the sum of its proper divisors (293052216576).

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

79819084800 is a wasteful number, since it uses less digits than its factorization.

79819084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 79819084800 in words is "seventy-nine billion, eight hundred nineteen million, eighty-four thousand, eight hundred".