7997467200 has 84 divisors (see below), whose sum is σ = 26238372720. Its totient is φ = 2132656640.

The previous prime is 7997467189. The next prime is 7997467217. The reversal of 7997467200 is 27647997.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 828270 + ... + 837869.

It is an arithmetic number, because the mean of its divisors is an integer number (312361580).

Almost surely, 2^7997467200 is an apocalyptic number.

It is an amenable number.

7997467200 is an abundant number, since it is smaller than the sum of its proper divisors (18240905520).

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

7997467200 is a wasteful number, since it uses less digits than its factorization.

7997467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666164 (or 1666149 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 7997467200 is about 89428.5591967130. The cubic root of 7997467200 is about 1999.7889110548.

The spelling of 7997467200 in words is "seven billion, nine hundred ninety-seven million, four hundred sixty-seven thousand, two hundred".