30820800 has 84 divisors (see below), whose sum is σ = 101133656. Its totient is φ = 8217600.

The previous prime is 30820781. The next prime is 30820837. The reversal of 30820800 is 802803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 8010.

Almost surely, 2^30820800 is an apocalyptic number.

30820800 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 30820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50566828).

30820800 is an abundant number, since it is smaller than the sum of its proper divisors (70312856).

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

30820800 is a wasteful number, since it uses less digits than its factorization.

30820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6431 counting only the distinct ones).

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

The square root of 30820800 is about 5551.6484038527. The cubic root of 30820800 is about 313.5315882285.

The spelling of 30820800 in words is "thirty million, eight hundred twenty thousand, eight hundred".