978680 has 32 divisors (see below), whose sum is σ = 2257200. Its totient is φ = 381696.

The previous prime is 978647. The next prime is 978683. The reversal of 978680 is 86879.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 2004.

2⁹⁷⁸⁶⁸⁰ 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 978680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128600).

978680 is an abundant number, since it is smaller than the sum of its proper divisors (1278520).

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

978680 is a wasteful number, since it uses less digits than its factorization.

978680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 978680 is about 989.2825683292. The cubic root of 978680 is about 99.2842221784.

The spelling of 978680 in words is "nine hundred seventy-eight thousand, six hundred eighty".