97978800 has 60 divisors (see below), whose sum is σ = 313862600. Its totient is φ = 26127360.

The previous prime is 97978759. The next prime is 97978819. The reversal of 97978800 is 887979.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97978800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39625 + ... + 42024.

Almost surely, 2^97978800 is an apocalyptic number.

It is an amenable number.

97978800 is an abundant number, since it is smaller than the sum of its proper divisors (215883800).

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

97978800 is a wasteful number, since it uses less digits than its factorization.

97978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81670 (or 81659 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 97978800 is about 9898.4241169996. The cubic root of 97978800 is about 461.0103814854.

The spelling of 97978800 in words is "ninety-seven million, nine hundred seventy-eight thousand, eight hundred".