978900 has 72 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 240000.

The previous prime is 978883. The next prime is 978907. The reversal of 978900 is 9879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978907) by changing a digit.

978900 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 23 ways as a sum of consecutive naturals, for example, 3775 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (42532).

2⁹⁷⁸⁹⁰⁰ 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 978900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

978900 is an abundant number, since it is smaller than the sum of its proper divisors (2083404).

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

978900 is a wasteful number, since it uses less digits than its factorization.

978900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 978900 is about 989.3937537705. The cubic root of 978900 is about 99.2916610731.

The spelling of 978900 in words is "nine hundred seventy-eight thousand, nine hundred".