275375880 has 192 divisors, whose sum is σ = 997542000. Its totient is φ = 65415168.

The previous prime is 275375791. The next prime is 275375897. The reversal of 275375880 is 88573572.

275375880 is a `hidden beast` number, since 275 + 375 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163481796 + 111894084 = 12786^2 + 10578^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134706 + ... + 136734.

Almost surely, 2^275375880 is an apocalyptic number.

275375880 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 275375880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498771000).

275375880 is an abundant number, since it is smaller than the sum of its proper divisors (722166120).

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

275375880 is a wasteful number, since it uses less digits than its factorization.

275375880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 275375880 is about 16594.4532901810. The cubic root of 275375880 is about 650.5918711521.

The spelling of 275375880 in words is "two hundred seventy-five million, three hundred seventy-five thousand, eight hundred eighty".