275980800 has 120 divisors (see below), whose sum is σ = 911812176. Its totient is φ = 73584640.

The previous prime is 275980787. The next prime is 275980801. The reversal of 275980800 is 8089572.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (275980801) 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, 34807 + ... + 41993.

Almost surely, 2^275980800 is an apocalyptic number.

275980800 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 275980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455906088).

275980800 is an abundant number, since it is smaller than the sum of its proper divisors (635831376).

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

275980800 is an equidigital number, since it uses as much as digits as its factorization.

275980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 275980800 is about 16612.6698636914. The cubic root of 275980800 is about 651.0679092256.

The spelling of 275980800 in words is "two hundred seventy-five million, nine hundred eighty thousand, eight hundred".