978880 has 112 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 304128.

The previous prime is 978871. The next prime is 978883. The reversal of 978880 is 88879.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978883) by changing a digit.

978880 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 15 ways as a sum of consecutive naturals, for example, 42549 + ... + 42571.

2⁹⁷⁸⁸⁸⁰ 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 978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

978880 is an abundant number, since it is smaller than the sum of its proper divisors (1947200).

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

978880 is a wasteful number, since it uses less digits than its factorization.

978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 978880 is about 989.3836465194. The cubic root of 978880 is about 99.2909848560.

The spelling of 978880 in words is "nine hundred seventy-eight thousand, eight hundred eighty".