30872800 has 144 divisors (see below), whose sum is σ = 89056800. Its totient is φ = 10229760.

The previous prime is 30872797. The next prime is 30872819. The reversal of 30872800 is 827803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207126 + ... + 207274.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^30872800 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 30872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44528400).

30872800 is an abundant number, since it is smaller than the sum of its proper divisors (58184000).

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

30872800 is a wasteful number, since it uses less digits than its factorization.

30872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 30872800 is about 5556.3297238375. The cubic root of 30872800 is about 313.7078164268.

It can be divided in two parts, 3087 and 2800, that multiplied together give a square (8643600 = 2940²).

The spelling of 30872800 in words is "thirty million, eight hundred seventy-two thousand, eight hundred".