278280 has 48 divisors (see below), whose sum is σ = 905580. Its totient is φ = 74112.

The previous prime is 278279. The next prime is 278321. The reversal of 278280 is 82872.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 30276 = 498^2 + 174^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6 and base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 746.

2²⁷⁸²⁸⁰ is an apocalyptic number.

278280 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 278280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452790).

278280 is an abundant number, since it is smaller than the sum of its proper divisors (627300).

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

278280 is a wasteful number, since it uses less digits than its factorization.

278280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 278280 is about 527.5225113680. The cubic root of 278280 is about 65.2870930153.

The spelling of 278280 in words is "two hundred seventy-eight thousand, two hundred eighty".