97990800 has 120 divisors (see below), whose sum is σ = 322526976. Its totient is φ = 25413120.

The previous prime is 97990727. The next prime is 97990807. The reversal of 97990800 is 809979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97990807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43297 + ... + 45503.

Almost surely, 2^97990800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161263488).

97990800 is an abundant number, since it is smaller than the sum of its proper divisors (224536176).

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

97990800 is a wasteful number, since it uses less digits than its factorization.

97990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 97990800 is about 9899.0302555351. The cubic root of 97990800 is about 461.0292015387.

It can be divided in two parts, 97990 and 800, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 97990800 in words is "ninety-seven million, nine hundred ninety thousand, eight hundred".