278880960 has 112 divisors (see below), whose sum is σ = 914107392. Its totient is φ = 71961600.

The previous prime is 278880941. The next prime is 278880997. The reversal of 278880960 is 69088872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25075 + ... + 34445.

Almost surely, 2^278880960 is an apocalyptic number.

278880960 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 278880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457053696).

278880960 is an abundant number, since it is smaller than the sum of its proper divisors (635226432).

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

278880960 is a wasteful number, since it uses less digits than its factorization.

278880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 278880960 is about 16699.7293391240. The cubic root of 278880960 is about 653.3405617230.

The spelling of 278880960 in words is "two hundred seventy-eight million, eight hundred eighty thousand, nine hundred sixty".