8195680900 has 81 divisors (see below), whose sum is σ = 19572173733. Its totient is φ = 2976626400.

The previous prime is 8195680879. The next prime is 8195680921. The reversal of 8195680900 is 90865918.

The square root of 8195680900 is 90530.

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

It is an interprime number because it is at equal distance from previous prime (8195680879) and next prime (8195680921).

It can be written as a sum of positive squares in only one way, i.e., 2950445124 + 5245235776 = 54318^2 + 72424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9957889 + ... + 9958711.

Almost surely, 2^8195680900 is an apocalyptic number.

8195680900 is the 90530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8195680900

8195680900 is an abundant number, since it is smaller than the sum of its proper divisors (11376492833).

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

8195680900 is a wasteful number, since it uses less digits than its factorization.

8195680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The cubic root of 8195680900 is about 2016.1755645295.

The spelling of 8195680900 in words is "eight billion, one hundred ninety-five million, six hundred eighty thousand, nine hundred".