278320 has 60 divisors (see below), whose sum is σ = 763344. Its totient is φ = 94080.

The previous prime is 278279. The next prime is 278321. The reversal of 278320 is 23872.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 278291 and 278300.

It is not an unprimeable number, because it can be changed into a prime (278321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3885 + ... + 3955.

2²⁷⁸³²⁰ is an apocalyptic number.

278320 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 278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672).

278320 is an abundant number, since it is smaller than the sum of its proper divisors (485024).

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

278320 is a wasteful number, since it uses less digits than its factorization.

278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 278320 is about 527.5604230797. The cubic root of 278320 is about 65.2902209903.

The spelling of 278320 in words is "two hundred seventy-eight thousand, three hundred twenty".