30080800 has 72 divisors (see below), whose sum is σ = 77338800. Its totient is φ = 11393280.

The previous prime is 30080761. The next prime is 30080807. The reversal of 30080800 is 808003.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (30080807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14211 + ... + 16189.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^30080800 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 30080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669400).

30080800 is an abundant number, since it is smaller than the sum of its proper divisors (47258000).

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

30080800 is a wasteful number, since it uses less digits than its factorization.

30080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2005 counting only the distinct ones).

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

The square root of 30080800 is about 5484.5966123317. The cubic root of 30080800 is about 311.0019609544.

Adding to 30080800 its reverse (808003), we get a palindrome (30888803).

The spelling of 30080800 in words is "thirty million, eighty thousand, eight hundred".