978800 has 30 divisors (see below), whose sum is σ = 2352528. Its totient is φ = 391360.

The previous prime is 978799. The next prime is 978821. The reversal of 978800 is 8879.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 824 + ... + 1623.

2⁹⁷⁸⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

978800 is an abundant number, since it is smaller than the sum of its proper divisors (1373728).

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

978800 is a wasteful number, since it uses less digits than its factorization.

978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2454 counting only the distinct ones).

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

The square root of 978800 is about 989.3432164825. The cubic root of 978800 is about 99.2882798955.

The spelling of 978800 in words is "nine hundred seventy-eight thousand, eight hundred".