8120900 has 54 divisors (see below), whose sum is σ = 18786558. Its totient is φ = 3046400.

The previous prime is 8120891. The next prime is 8120921. The reversal of 8120900 is 90218.

It can be written as a sum of positive squares in 9 ways, for example, as 179776 + 7941124 = 424^2 + 2818^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28760 + ... + 29040.

Almost surely, 2^8120900 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 8120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393279).

8120900 is an abundant number, since it is smaller than the sum of its proper divisors (10665658).

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

8120900 is a wasteful number, since it uses less digits than its factorization.

8120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8120900 is about 2849.7192844208. The cubic root of 8120900 is about 201.0024669054.

The spelling of 8120900 in words is "eight million, one hundred twenty thousand, nine hundred".