278080 has 56 divisors (see below), whose sum is σ = 731520. Its totient is φ = 99840.

The previous prime is 278071. The next prime is 278087. The reversal of 278080 is 80872.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (278087) by changing a digit.

278080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 3481 + ... + 3559.

2²⁷⁸⁰⁸⁰ is an apocalyptic number.

278080 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 278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

278080 is an abundant number, since it is smaller than the sum of its proper divisors (453440).

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

278080 is a wasteful number, since it uses less digits than its factorization.

278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 278080 is about 527.3329119257. The cubic root of 278080 is about 65.2714486428.

The spelling of 278080 in words is "two hundred seventy-eight thousand, eighty".