8120356800 has 336 divisors, whose sum is σ = 28233014400. Its totient is φ = 2037657600.

The previous prime is 8120356789. The next prime is 8120356817. The reversal of 8120356800 is 86530218.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24532635 + ... + 24532965.

Almost surely, 2^8120356800 is an apocalyptic number.

8120356800 is a gapful number since it is divisible by the number (80) 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 8120356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116507200).

8120356800 is an abundant number, since it is smaller than the sum of its proper divisors (20112657600).

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

8120356800 is a wasteful number, since it uses less digits than its factorization.

8120356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8120356800 is about 90113.0223663595. The cubic root of 8120356800 is about 2009.9798517819.

The spelling of 8120356800 in words is "eight billion, one hundred twenty million, three hundred fifty-six thousand, eight hundred".