30074800 has 120 divisors (see below), whose sum is σ = 86351616. Its totient is φ = 9841920.

The previous prime is 30074773. The next prime is 30074809. The reversal of 30074800 is 847003.

It is not an unprimeable number, because it can be changed into a prime (30074809) 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, 64167 + ... + 64633.

Almost surely, 2^30074800 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 30074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43175808).

30074800 is an abundant number, since it is smaller than the sum of its proper divisors (56276816).

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

30074800 is a wasteful number, since it uses less digits than its factorization.

30074800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 30074800 is about 5484.0495986087. The cubic root of 30074800 is about 310.9812818075.

The spelling of 30074800 in words is "thirty million, seventy-four thousand, eight hundred".