330800 has 30 divisors (see below), whose sum is σ = 795708. Its totient is φ = 132160.

The previous prime is 330793. The next prime is 330821. The reversal of 330800 is 8033.

It is a happy number.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14 + ... + 813.

2³³⁰⁸⁰⁰ 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 330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397854).

330800 is an abundant number, since it is smaller than the sum of its proper divisors (464908).

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

330800 is a wasteful number, since it uses less digits than its factorization.

330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 330800 is about 575.1521537819. The cubic root of 330800 is about 69.1600290400.

Adding to 330800 its reverse (8033), we get a palindrome (338833).

It can be divided in two parts, 3 and 30800, that added together give a palindrome (30803).

The spelling of 330800 in words is "three hundred thirty thousand, eight hundred".