97880 has 16 divisors (see below), whose sum is σ = 220320. Its totient is φ = 39136.

The previous prime is 97879. The next prime is 97883. The reversal of 97880 is 8879.

97880 = T₄₉ + T₅₀ + ... + T₈₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1184 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2⁹⁷⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

97880 is an abundant number, since it is smaller than the sum of its proper divisors (122440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

97880 is a wasteful number, since it uses less digits than its factorization.

97880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 97880 is about 312.8577951722. The cubic root of 97880 is about 46.0855371272.

The spelling of 97880 in words is "ninety-seven thousand, eight hundred eighty".