30270800 has 120 divisors (see below), whose sum is σ = 87643200. Its totient is φ = 9815040.

The previous prime is 30270797. The next prime is 30270803. The reversal of 30270800 is 807203.

It is an interprime number because it is at equal distance from previous prime (30270797) and next prime (30270803).

It is a super-3 number, since 3×30270800³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30270803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52916 + ... + 53484.

It is an arithmetic number, because the mean of its divisors is an integer number (730360).

Almost surely, 2^30270800 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 30270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43821600).

30270800 is an abundant number, since it is smaller than the sum of its proper divisors (57372400).

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

30270800 is a wasteful number, since it uses less digits than its factorization.

30270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 30270800 is about 5501.8905841538. The cubic root of 30270800 is about 311.6553832488.

The spelling of 30270800 in words is "thirty million, two hundred seventy thousand, eight hundred".