30800 has 60 divisors (see below), whose sum is σ = 92256. Its totient is φ = 9600.

The previous prime is 30781. The next prime is 30803. The reversal of 30800 is 803.

30800 = T₇ + T₈ + ... + T₅₆.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30803) by changing a digit.

30800 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 11 ways as a sum of consecutive naturals, for example, 2795 + ... + 2805.

2³⁰⁸⁰⁰ is an apocalyptic number.

It is a pronic number, being equal to 175×176.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128).

30800 is an abundant number, since it is smaller than the sum of its proper divisors (61456).

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

30800 is a wasteful number, since it uses less digits than its factorization.

30800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 25 counting only the distinct ones).

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

The square root of 30800 is about 175.4992877478. The cubic root of 30800 is about 31.3461041448.

The spelling of 30800 in words is "thirty thousand, eight hundred".