278880000 has 360 divisors, whose sum is σ = 1072756608. Its totient is φ = 62976000.

The previous prime is 278879981. The next prime is 278880001. The reversal of 278880000 is 88872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359959 + ... + 3360041.

Almost surely, 2^278880000 is an apocalyptic number.

278880000 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 278880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536378304).

278880000 is an abundant number, since it is smaller than the sum of its proper divisors (793876608).

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

278880000 is an frugal number, since it uses more digits than its factorization.

278880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 278880000 is about 16699.7005961185. The cubic root of 278880000 is about 653.3398120511.

The spelling of 278880000 in words is "two hundred seventy-eight million, eight hundred eighty thousand".