280980 has 72 divisors (see below), whose sum is σ = 978432. Its totient is φ = 63936.

The previous prime is 280979. The next prime is 280997. The reversal of 280980 is 89082.

280980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149 + ... + 1371.

2²⁸⁰⁹⁸⁰ is an apocalyptic number.

280980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489216).

280980 is an abundant number, since it is smaller than the sum of its proper divisors (697452).

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

280980 is a wasteful number, since it uses less digits than its factorization.

280980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 280980 is about 530.0754663253. The cubic root of 280980 is about 65.4975622114.

The spelling of 280980 in words is "two hundred eighty thousand, nine hundred eighty".