8322912900 has 81 divisors (see below), whose sum is σ = 26096289583. Its totient is φ = 2218713600.

The previous prime is 8322912889. The next prime is 8322912919. The reversal of 8322912900 is 92192238.

The square root of 8322912900 is 91230.

It is a perfect power (a square), and thus also a powerful number.

8322912900 is a `hidden beast` number, since 83 + 2 + 291 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1901134404 + 6421778496 = 43602^2 + 80136^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2735380 + ... + 2738420.

Almost surely, 2^8322912900 is an apocalyptic number.

8322912900 is the 91230-th square number.

It is an amenable number.

8322912900 is an abundant number, since it is smaller than the sum of its proper divisors (17773376683).

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

8322912900 is a wasteful number, since it uses less digits than its factorization.

8322912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 8322912900 is about 2026.5552569735. Note that the first 3 decimals are identical.

Multiplying 8322912900 by its sum of digits (36), we get a square (299624864400 = 547380²).

8322912900 divided by its sum of digits (36) gives a square (231192025 = 15205²).

The spelling of 8322912900 in words is "eight billion, three hundred twenty-two million, nine hundred twelve thousand, nine hundred".