30850800 has 120 divisors (see below), whose sum is σ = 101112576. Its totient is φ = 8037120.

The previous prime is 30850793. The next prime is 30850873. The reversal of 30850800 is 805803.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 56127 + ... + 56673.

Almost surely, 2^30850800 is an apocalyptic number.

30850800 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 30850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50556288).

30850800 is an abundant number, since it is smaller than the sum of its proper divisors (70261776).

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

30850800 is a wasteful number, since it uses less digits than its factorization.

30850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 30850800 is about 5554.3496468984. The cubic root of 30850800 is about 313.6332825116.

The spelling of 30850800 in words is "thirty million, eight hundred fifty thousand, eight hundred".