30840800 has 72 divisors (see below), whose sum is σ = 79291800. Its totient is φ = 11681280.

The previous prime is 30840793. The next prime is 30840809. The reversal of 30840800 is 804803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30840809) 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, 14186 + ... + 16214.

It is an arithmetic number, because the mean of its divisors is an integer number (1101275).

Almost surely, 2^30840800 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 30840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39645900).

30840800 is an abundant number, since it is smaller than the sum of its proper divisors (48451000).

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

30840800 is a wasteful number, since it uses less digits than its factorization.

30840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 30840800 is about 5553.4493785394. The cubic root of 30840800 is about 313.5993917453.

The spelling of 30840800 in words is "thirty million, eight hundred forty thousand, eight hundred".