8397302796100 has 81 divisors (see below), whose sum is σ = 18334830234693. Its totient is φ = 3338277120000.

The previous prime is 8397302796061. The next prime is 8397302796109. The reversal of 8397302796100 is 16972037938.

It is a happy number.

The square root of 8397302796100 is 2897810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4923224319556 + 3474078476544 = 2218834^2 + 1863888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8397302796109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5245035300 + ... + 5245036900.

Almost surely, 2^{8397302796100} is an apocalyptic number.

8397302796100 is the 2897810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8397302796100

8397302796100 is an abundant number, since it is smaller than the sum of its proper divisors (9937527438593).

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

8397302796100 is an equidigital number, since it uses as much as digits as its factorization.

8397302796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 8397302796100 in words is "eight trillion, three hundred ninety-seven billion, three hundred two million, seven hundred ninety-six thousand, one hundred".