978280 has 32 divisors (see below), whose sum is σ = 2264040. Its totient is φ = 380160.

The previous prime is 978277. The next prime is 978283. The reversal of 978280 is 82879.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (978277) and next prime (978283).

It can be written as a sum of positive squares in 4 ways, for example, as 972196 + 6084 = 986^2 + 78^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (978283) 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, 1150 + ... + 1810.

2⁹⁷⁸²⁸⁰ 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 978280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132020).

978280 is an abundant number, since it is smaller than the sum of its proper divisors (1285760).

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

978280 is a wasteful number, since it uses less digits than its factorization.

978280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 978280 is about 989.0803809600. The cubic root of 978280 is about 99.2706940587.

The spelling of 978280 in words is "nine hundred seventy-eight thousand, two hundred eighty".