278980 has 48 divisors (see below), whose sum is σ = 670320. Its totient is φ = 96768.

The previous prime is 278947. The next prime is 278981. The reversal of 278980 is 89872.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 196 + 278784 = 14^2 + 528^2 .

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 a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7522 + ... + 7558.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2²⁷⁸⁹⁸⁰ is an apocalyptic number.

278980 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 278980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

278980 is an abundant number, since it is smaller than the sum of its proper divisors (391340).

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

278980 is a wasteful number, since it uses less digits than its factorization.

278980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

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

The square root of 278980 is about 528.1855734493. The cubic root of 278980 is about 65.3417893632.

The spelling of 278980 in words is "two hundred seventy-eight thousand, nine hundred eighty".