30280800 has 288 divisors, whose sum is σ = 113992704. Its totient is φ = 6912000.

The previous prime is 30280787. The next prime is 30280801. The reversal of 30280800 is 808203.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30280801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818382 + ... + 818418.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 2^30280800 is an apocalyptic number.

30280800 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 30280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

30280800 is an abundant number, since it is smaller than the sum of its proper divisors (83711904).

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

30280800 is a wasteful number, since it uses less digits than its factorization.

30280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30280800 is about 5502.7992876353. The cubic root of 30280800 is about 311.6896980638.

The spelling of 30280800 in words is "thirty million, two hundred eighty thousand, eight hundred".