275207680 has 160 divisors (see below), whose sum is σ = 746871840. Its totient is φ = 96337920.

The previous prime is 275207599. The next prime is 275207687. The reversal of 275207680 is 86702572.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275207687) 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, 816472 + ... + 816808.

It is an arithmetic number, because the mean of its divisors is an integer number (4667949).

Almost surely, 2^275207680 is an apocalyptic number.

275207680 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 275207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373435920).

275207680 is an abundant number, since it is smaller than the sum of its proper divisors (471664160).

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

275207680 is a wasteful number, since it uses less digits than its factorization.

275207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 275207680 is about 16589.3845576019. The cubic root of 275207680 is about 650.4593833441.

The spelling of 275207680 in words is "two hundred seventy-five million, two hundred seven thousand, six hundred eighty".