278055120 has 320 divisors, whose sum is σ = 1074216960. Its totient is φ = 58060800.

The previous prime is 278055109. The next prime is 278055131. The reversal of 278055120 is 21550872.

It is an interprime number because it is at equal distance from previous prime (278055109) and next prime (278055131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989380 + ... + 989660.

It is an arithmetic number, because the mean of its divisors is an integer number (3356928).

Almost surely, 2^278055120 is an apocalyptic number.

278055120 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 278055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537108480).

278055120 is an abundant number, since it is smaller than the sum of its proper divisors (796161840).

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

278055120 is a wasteful number, since it uses less digits than its factorization.

278055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 278055120 is about 16674.9848575643. The cubic root of 278055120 is about 652.6950195828.

The spelling of 278055120 in words is "two hundred seventy-eight million, fifty-five thousand, one hundred twenty".