97816800 has 144 divisors (see below), whose sum is σ = 324822960. Its totient is φ = 25559040.

The previous prime is 97816799. The next prime is 97816819. The reversal of 97816800 is 861879.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126816 + ... + 127584.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^97816800 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 97816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480).

97816800 is an abundant number, since it is smaller than the sum of its proper divisors (227006160).

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

97816800 is a wasteful number, since it uses less digits than its factorization.

97816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 97816800 is about 9890.2376108969. The cubic root of 97816800 is about 460.7561602294.

The spelling of 97816800 in words is "ninety-seven million, eight hundred sixteen thousand, eight hundred".