978400 has 36 divisors (see below), whose sum is σ = 2390472. Its totient is φ = 391040.

The previous prime is 978389. The next prime is 978403. The reversal of 978400 is 4879.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978403) by changing a digit.

978400 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 5 ways as a sum of consecutive naturals, for example, 189 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

2⁹⁷⁸⁴⁰⁰ 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 978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195236).

978400 is an abundant number, since it is smaller than the sum of its proper divisors (1412072).

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

978400 is a wasteful number, since it uses less digits than its factorization.

978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 978400 is about 989.1410415103. The cubic root of 978400 is about 99.2747528818.

It can be divided in two parts, 978 and 400, that added together give a triangular number (1378 = T₅₂).

The spelling of 978400 in words is "nine hundred seventy-eight thousand, four hundred".