79800050206800 has 4320 divisors, whose sum is σ = 387707961888000. Its totient is φ = 15046778880000.

The previous prime is 79800050206703. The next prime is 79800050206801. The reversal of 79800050206800 is 860205000897.

79800050206800 is a `hidden beast` number, since 7 + 9 + 80 + 0 + 0 + 502 + 0 + 68 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79800050206801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 113837446450 + ... + 113837447150.

It is an arithmetic number, because the mean of its divisors is an integer number (89747213400).

Almost surely, 2^{79800050206800} is an apocalyptic number.

79800050206800 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 79800050206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193853980944000).

79800050206800 is an abundant number, since it is smaller than the sum of its proper divisors (307907911681200).

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

79800050206800 is a wasteful number, since it uses less digits than its factorization.

79800050206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 79800050206800 in words is "seventy-nine trillion, eight hundred billion, fifty million, two hundred six thousand, eight hundred".