8059900800 has 768 divisors, whose sum is σ = 32346501120. Its totient is φ = 1725235200.

The previous prime is 8059900799. The next prime is 8059900813. The reversal of 8059900800 is 80099508.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110409564 + ... + 110409636.

It is an arithmetic number, because the mean of its divisors is an integer number (42117840).

Almost surely, 2^8059900800 is an apocalyptic number.

8059900800 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 8059900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173250560).

8059900800 is an abundant number, since it is smaller than the sum of its proper divisors (24286600320).

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

8059900800 is a wasteful number, since it uses less digits than its factorization.

8059900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 8059900800 is about 89776.9502712138. The cubic root of 8059900800 is about 2004.9793262006.

The spelling of 8059900800 in words is "eight billion, fifty-nine million, nine hundred thousand, eight hundred".