8108812800 has 840 divisors, whose sum is σ = 33275816640. Its totient is φ = 1940889600.

The previous prime is 8108812787. The next prime is 8108812807. The reversal of 8108812800 is 82188018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8108812807) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 102643161 + ... + 102643239.

Almost surely, 2^8108812800 is an apocalyptic number.

8108812800 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 8108812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637908320).

8108812800 is an abundant number, since it is smaller than the sum of its proper divisors (25167003840).

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

8108812800 is an equidigital number, since it uses as much as digits as its factorization.

8108812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 8108812800 is about 90048.9466901196. The cubic root of 8108812800 is about 2009.0269293100.

The spelling of 8108812800 in words is "eight billion, one hundred eight million, eight hundred twelve thousand, eight hundred".