305800 has 48 divisors (see below), whose sum is σ = 781200. Its totient is φ = 110400.

The previous prime is 305783. The next prime is 305803. The reversal of 305800 is 8503.

It is a super-3 number, since 3×305800³ = 85789413336000000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (305803) by changing a digit.

305800 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 11 ways as a sum of consecutive naturals, for example, 2131 + ... + 2269.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2³⁰⁵⁸⁰⁰ 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 305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

305800 is an abundant number, since it is smaller than the sum of its proper divisors (475400).

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

305800 is a wasteful number, since it uses less digits than its factorization.

305800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

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

The square root of 305800 is about 552.9918625079. The cubic root of 305800 is about 67.3719566230.

The spelling of 305800 in words is "three hundred five thousand, eight hundred".