30080 has 32 divisors (see below), whose sum is σ = 73440. Its totient is φ = 11776.

The previous prime is 30071. The next prime is 30089. The reversal of 30080 is 8003.

It is an interprime number because it is at equal distance from previous prime (30071) and next prime (30089).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30089) by changing a digit.

30080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

2³⁰⁰⁸⁰ 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 30080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720).

30080 is an abundant number, since it is smaller than the sum of its proper divisors (43360).

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

30080 is an equidigital number, since it uses as much as digits as its factorization.

30080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 30080 is about 173.4358671094. The cubic root of 30080 is about 31.0999203894.

Adding to 30080 its reverse (8003), we get a palindrome (38083).

The spelling of 30080 in words is "thirty thousand, eighty".