333080 has 32 divisors (see below), whose sum is σ = 818640. Its totient is φ = 120960.

The previous prime is 333071. The next prime is 333097. The reversal of 333080 is 80333.

It is a happy number.

It is a super-2 number, since 2×333080² = 221884572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

333080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 818.

2³³³⁰⁸⁰ 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 333080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409320).

333080 is an abundant number, since it is smaller than the sum of its proper divisors (485560).

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

333080 is a wasteful number, since it uses less digits than its factorization.

333080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 333080 is about 577.1308343868. The cubic root of 333080 is about 69.3185578311.

It can be divided in two parts, 33 and 3080, that added together give a palindrome (3113).

The spelling of 333080 in words is "three hundred thirty-three thousand, eighty".