30156800 has 144 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 11059200.

The previous prime is 30156787. The next prime is 30156809. The reversal of 30156800 is 865103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30156809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972785 + ... + 972815.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^30156800 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 30156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

30156800 is an abundant number, since it is smaller than the sum of its proper divisors (51088000).

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

30156800 is a wasteful number, since it uses less digits than its factorization.

30156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 30156800 is about 5491.5207365538. The cubic root of 30156800 is about 311.2636591265.

The spelling of 30156800 in words is "thirty million, one hundred fifty-six thousand, eight hundred".