275205680 has 80 divisors (see below), whose sum is σ = 666278784. Its totient is φ = 105630720.

The previous prime is 275205659. The next prime is 275205691. The reversal of 275205680 is 86502572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 275205680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198590 + ... + 199970.

Almost surely, 2^275205680 is an apocalyptic number.

275205680 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 275205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333139392).

275205680 is an abundant number, since it is smaller than the sum of its proper divisors (391073104).

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

275205680 is a wasteful number, since it uses less digits than its factorization.

275205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 275205680 is about 16589.3242779807. The cubic root of 275205680 is about 650.4578076590.

The spelling of 275205680 in words is "two hundred seventy-five million, two hundred five thousand, six hundred eighty".