7988100 has 36 divisors (see below), whose sum is σ = 23113104. Its totient is φ = 2130080.

The previous prime is 7988093. The next prime is 7988117. The reversal of 7988100 is 18897.

7988100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7988100² = 127619483220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13014 + ... + 13613.

Almost surely, 2^7988100 is an apocalyptic number.

It is an amenable number.

7988100 is an abundant number, since it is smaller than the sum of its proper divisors (15125004).

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

7988100 is a wasteful number, since it uses less digits than its factorization.

7988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26644 (or 26637 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 7988100 is about 2826.3226991977. The cubic root of 7988100 is about 199.9007841225.

The spelling of 7988100 in words is "seven million, nine hundred eighty-eight thousand, one hundred".