79812820800 has 336 divisors, whose sum is σ = 291605086080. Its totient is φ = 21235322880.

The previous prime is 79812820723. The next prime is 79812820807. The reversal of 79812820800 is 802821897.

It is a happy number.

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 (79812820807) 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 47 ways as a sum of consecutive naturals, for example, 21727764 + ... + 21731436.

It is an arithmetic number, because the mean of its divisors is an integer number (867872280).

Almost surely, 2^79812820800 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 79812820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145802543040).

79812820800 is an abundant number, since it is smaller than the sum of its proper divisors (211792265280).

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

79812820800 is a wasteful number, since it uses less digits than its factorization.

79812820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 79812820800 in words is "seventy-nine billion, eight hundred twelve million, eight hundred twenty thousand, eight hundred".