306800 has 60 divisors (see below), whose sum is σ = 807240. Its totient is φ = 111360.

The previous prime is 306781. The next prime is 306809. The reversal of 306800 is 8603.

306800 = T₁₄₄ + T₁₄₅ + ... + T₁₆₈.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306809) by changing a digit.

306800 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, 5171 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (13454).

2³⁰⁶⁸⁰⁰ 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 306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403620).

306800 is an abundant number, since it is smaller than the sum of its proper divisors (500440).

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

306800 is a wasteful number, since it uses less digits than its factorization.

306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 306800 is about 553.8952969650. The cubic root of 306800 is about 67.4453146476.

The spelling of 306800 in words is "three hundred six thousand, eight hundred".