7979099572900 has 81 divisors (see below), whose sum is σ = 18275135485089. Its totient is φ = 3023455404960.

The previous prime is 7979099572889. The next prime is 7979099572901. The reversal of 7979099572900 is 92759909797.

The square root of 7979099572900 is 2824730.

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

It can be written as a sum of positive squares in only one way, i.e., 2872475846244 + 5106623726656 = 1694838^2 + 2259784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7979099572901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536691267 + ... + 536706133.

Almost surely, 2^{7979099572900} is an apocalyptic number.

7979099572900 is the 2824730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7979099572900

7979099572900 is an abundant number, since it is smaller than the sum of its proper divisors (10296035912189).

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

7979099572900 is an equidigital number, since it uses as much as digits as its factorization.

7979099572900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29786 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 202538070, while the sum is 73.

The spelling of 7979099572900 in words is "seven trillion, nine hundred seventy-nine billion, ninety-nine million, five hundred seventy-two thousand, nine hundred".