305080 has 32 divisors (see below), whose sum is σ = 712800. Its totient is φ = 117376.

The previous prime is 305069. The next prime is 305093. The reversal of 305080 is 80503.

305080 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

305080 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 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2³⁰⁵⁰⁸⁰ 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 305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

305080 is an abundant number, since it is smaller than the sum of its proper divisors (407720).

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

305080 is a wasteful number, since it uses less digits than its factorization.

305080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 305080 is about 552.3404747074. The cubic root of 305080 is about 67.3190397613.

Adding to 305080 its reverse (80503), we get a palindrome (385583).

The spelling of 305080 in words is "three hundred five thousand, eighty".