30880 has 24 divisors (see below), whose sum is σ = 73332. Its totient is φ = 12288.

The previous prime is 30871. The next prime is 30881. The reversal of 30880 is 8803.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 1296 = 172^2 + 36^2 .

It is not an unprimeable number, because it can be changed into a prime (30881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 256.

2³⁰⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666).

30880 is an abundant number, since it is smaller than the sum of its proper divisors (42452).

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

30880 is a wasteful number, since it uses less digits than its factorization.

30880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 30880 is about 175.7270610919. The cubic root of 30880 is about 31.3732201654.

The spelling of 30880 in words is "thirty thousand, eight hundred eighty".