30880800 has 108 divisors (see below), whose sum is σ = 108918810. Its totient is φ = 8232960.

The previous prime is 30880783. The next prime is 30880807. The reversal of 30880800 is 808803.

It can be written as a sum of positive squares in 3 ways, for example, as 28772496 + 2108304 = 5364^2 + 1452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30880807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5056 + ... + 9344.

Almost surely, 2^30880800 is an apocalyptic number.

30880800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54459405).

30880800 is an abundant number, since it is smaller than the sum of its proper divisors (78038010).

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

30880800 is a wasteful number, since it uses less digits than its factorization.

30880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 30880800 is about 5557.0495768888. The cubic root of 30880800 is about 313.7349108895.

The spelling of 30880800 in words is "thirty million, eight hundred eighty thousand, eight hundred".