20000800 has 72 divisors (see below), whose sum is σ = 50996736. Its totient is φ = 7645440.

The previous prime is 20000791. The next prime is 20000801. The reversal of 20000800 is 800002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17857 + ... + 18943.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^20000800 is an apocalyptic number.

20000800 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 20000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498368).

20000800 is an abundant number, since it is smaller than the sum of its proper divisors (30995936).

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

20000800 is a wasteful number, since it uses less digits than its factorization.

20000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20000800 is about 4472.2253968243. The cubic root of 20000800 is about 271.4453808347.

Adding to 20000800 its reverse (800002), we get a palindrome (20800802).

It can be divided in two parts, 20000 and 800, that multiplied together give a square (16000000 = 4000²).

The spelling of 20000800 in words is "twenty million, eight hundred", and thus it is an aban number.