275838080 has 128 divisors (see below), whose sum is σ = 786689280. Its totient is φ = 90427392.

The previous prime is 275838061. The next prime is 275838089. The reversal of 275838080 is 80838572.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (275838089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101702 + ... + 104378.

It is an arithmetic number, because the mean of its divisors is an integer number (6146010).

Almost surely, 2^275838080 is an apocalyptic number.

275838080 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 275838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393344640).

275838080 is an abundant number, since it is smaller than the sum of its proper divisors (510851200).

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

275838080 is a wasteful number, since it uses less digits than its factorization.

275838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 275838080 is about 16608.3737915547. The cubic root of 275838080 is about 650.9556593466.

The spelling of 275838080 in words is "two hundred seventy-five million, eight hundred thirty-eight thousand, eighty".