8120970900 has 720 divisors, whose sum is σ = 31928512000. Its totient is φ = 1783192320.

The previous prime is 8120970883. The next prime is 8120970911. The reversal of 8120970900 is 90790218.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102797061 + ... + 102797139.

Almost surely, 2^8120970900 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 8120970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964256000).

8120970900 is an abundant number, since it is smaller than the sum of its proper divisors (23807541100).

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

8120970900 is a wasteful number, since it uses less digits than its factorization.

8120970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8120970900 is about 90116.4296895966. The cubic root of 8120970900 is about 2010.0305185832.

The spelling of 8120970900 in words is "eight billion, one hundred twenty million, nine hundred seventy thousand, nine hundred".