30808800 has 216 divisors, whose sum is σ = 118820520. Its totient is φ = 7449600.

The previous prime is 30808763. The next prime is 30808807. The reversal of 30808800 is 880803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30808807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79006 + ... + 79394.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 2^30808800 is an apocalyptic number.

30808800 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 30808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410260).

30808800 is an abundant number, since it is smaller than the sum of its proper divisors (88011720).

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

30808800 is a wasteful number, since it uses less digits than its factorization.

30808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

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

The square root of 30808800 is about 5550.5675385495. The cubic root of 30808800 is about 313.4908920379.

The spelling of 30808800 in words is "thirty million, eight hundred eight thousand, eight hundred".