7999789992100 has 81 divisors (see below), whose sum is σ = 17521528285443. Its totient is φ = 3170331037440.

The previous prime is 7999789992053. The next prime is 7999789992107. The reversal of 7999789992100 is 12999879997.

It is a happy number.

The square root of 7999789992100 is 2828390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4069975386724 + 3929814605376 = 2017418^2 + 1982376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7999789992107) 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, 3196079449 + ... + 3196081951.

Almost surely, 2^{7999789992100} is an apocalyptic number.

7999789992100 is the 2828390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7999789992100

7999789992100 is an abundant number, since it is smaller than the sum of its proper divisors (9521738293343).

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

7999789992100 is an equidigital number, since it uses as much as digits as its factorization.

7999789992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 79.

The spelling of 7999789992100 in words is "seven trillion, nine hundred ninety-nine billion, seven hundred eighty-nine million, nine hundred ninety-two thousand, one hundred".