30900800 has 168 divisors, whose sum is σ = 90708480. Its totient is φ = 10137600.

The previous prime is 30900787. The next prime is 30900803. The reversal of 30900800 is 800903.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30900803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347156 + ... + 347244.

Almost surely, 2^30900800 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 30900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

30900800 is an abundant number, since it is smaller than the sum of its proper divisors (59807680).

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

30900800 is a wasteful number, since it uses less digits than its factorization.

30900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 30900800 is about 5558.8488016855. The cubic root of 30900800 is about 313.8026265801.

The spelling of 30900800 in words is "thirty million, nine hundred thousand, eight hundred".