20300800 has 132 divisors (see below), whose sum is σ = 55080676. Its totient is φ = 7372800.

The previous prime is 20300767. The next prime is 20300801. The reversal of 20300800 is 800302.

It can be written as a sum of positive squares in 6 ways, for example, as 7225344 + 13075456 = 2688^2 + 3616^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332770 + ... + 332830.

Almost surely, 2^20300800 is an apocalyptic number.

20300800 is a gapful number since it is divisible by the number (20) 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 20300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540338).

20300800 is an abundant number, since it is smaller than the sum of its proper divisors (34779876).

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

20300800 is a wasteful number, since it uses less digits than its factorization.

20300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20300800 is about 4505.6409089052. The cubic root of 20300800 is about 272.7958238454.

The spelling of 20300800 in words is "twenty million, three hundred thousand, eight hundred".