97800 has 48 divisors (see below), whose sum is σ = 305040. Its totient is φ = 25920.

The previous prime is 97789. The next prime is 97813. The reversal of 97800 is 879.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is an unprimeable number.

97800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (6355).

2⁹⁷⁸⁰⁰ 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 97800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152520).

97800 is an abundant number, since it is smaller than the sum of its proper divisors (207240).

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

97800 is a wasteful number, since it uses less digits than its factorization.

97800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 97800 is about 312.7299154222. The cubic root of 97800 is about 46.0729780484.

The spelling of 97800 in words is "ninety-seven thousand, eight hundred".