278580120 has 256 divisors, whose sum is σ = 1043159040. Its totient is φ = 57950208.

The previous prime is 278580053. The next prime is 278580151. The reversal of 278580120 is 21085872.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1059109 + ... + 1059371.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2^278580120 is an apocalyptic number.

278580120 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 278580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

278580120 is an abundant number, since it is smaller than the sum of its proper divisors (764578920).

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

278580120 is a wasteful number, since it uses less digits than its factorization.

278580120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 278580120 is about 16690.7195770584. The cubic root of 278580120 is about 653.1055490342.

The spelling of 278580120 in words is "two hundred seventy-eight million, five hundred eighty thousand, one hundred twenty".