278478720 has 192 divisors, whose sum is σ = 1035871200. Its totient is φ = 68530176.

The previous prime is 278478703. The next prime is 278478743. The reversal of 278478720 is 27874872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73021 + ... + 76739.

Almost surely, 2^278478720 is an apocalyptic number.

278478720 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 278478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

278478720 is an abundant number, since it is smaller than the sum of its proper divisors (757392480).

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

278478720 is a wasteful number, since it uses less digits than its factorization.

278478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 278478720 is about 16687.6816844042. The cubic root of 278478720 is about 653.0262984170.

The spelling of 278478720 in words is "two hundred seventy-eight million, four hundred seventy-eight thousand, seven hundred twenty".