978080 has 24 divisors (see below), whose sum is σ = 2311092. Its totient is φ = 391168.

The previous prime is 978079. The next prime is 978091. The reversal of 978080 is 80879.

978080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 1936 = 988^2 + 44^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2897 + ... + 3216.

2⁹⁷⁸⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

978080 is an abundant number, since it is smaller than the sum of its proper divisors (1333012).

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

978080 is a wasteful number, since it uses less digits than its factorization.

978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6120 counting only the distinct ones).

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

The square root of 978080 is about 988.9792717747. The cubic root of 978080 is about 99.2639286160.

The spelling of 978080 in words is "nine hundred seventy-eight thousand, eighty".