30830800 has 270 divisors, whose sum is σ = 101994774. Its totient is φ = 8870400.

The previous prime is 30830797. The next prime is 30830801. The reversal of 30830800 is 803803.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 30735936 = 308^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30830801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2371594 + ... + 2371606.

Almost surely, 2^30830800 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 30830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50997387).

30830800 is an abundant number, since it is smaller than the sum of its proper divisors (71163974).

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

30830800 is a wasteful number, since it uses less digits than its factorization.

30830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30830800 is about 5552.5489642145. The cubic root of 30830800 is about 313.5654936523.

It can be divided in two parts, 308 and 30800, that multiplied together give a square (9486400 = 3080²).

The spelling of 30830800 in words is "thirty million, eight hundred thirty thousand, eight hundred".