8130609900 has 576 divisors, whose sum is σ = 31158005760. Its totient is φ = 1802787840.

The previous prime is 8130609899. The next prime is 8130609913. The reversal of 8130609900 is 99060318.

It is a super-2 number, since 2×8130609900² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 71952244 + ... + 71952356.

It is an arithmetic number, because the mean of its divisors is an integer number (54093760).

Almost surely, 2^8130609900 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 8130609900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579002880).

8130609900 is an abundant number, since it is smaller than the sum of its proper divisors (23027395860).

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

8130609900 is a wasteful number, since it uses less digits than its factorization.

8130609900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 8130609900 is about 90169.8946433897. The cubic root of 8130609900 is about 2010.8254573498.

The spelling of 8130609900 in words is "eight billion, one hundred thirty million, six hundred nine thousand, nine hundred".