308800 has 42 divisors (see below), whose sum is σ = 763778. Its totient is φ = 122880.

The previous prime is 308773. The next prime is 308801. The reversal of 308800 is 8803.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 304704 = 64^2 + 552^2 .

It is not an unprimeable number, because it can be changed into a prime (308801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1504 + ... + 1696.

2³⁰⁸⁸⁰⁰ 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 308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381889).

308800 is an abundant number, since it is smaller than the sum of its proper divisors (454978).

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

308800 is a wasteful number, since it uses less digits than its factorization.

308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 308800 is about 555.6977595780. The cubic root of 308800 is about 67.5915538623.

The spelling of 308800 in words is "three hundred eight thousand, eight hundred".