2000800 has 72 divisors (see below), whose sum is σ = 5085612. Its totient is φ = 768000.

The previous prime is 2000767. The next prime is 2000807. The reversal of 2000800 is 80002.

It is a happy number.

2000800 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 1993744 = 84^2 + 1412^2 .

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000807) 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, 32770 + ... + 32830.

2^2000800 is an apocalyptic number.

2000800 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 2000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542806).

2000800 is an abundant number, since it is smaller than the sum of its proper divisors (3084812).

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

2000800 is a wasteful number, since it uses less digits than its factorization.

2000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

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

The square root of 2000800 is about 1414.4963768070. The cubic root of 2000800 is about 126.0089016975.

Adding to 2000800 its reverse (80002), we get a palindrome (2080802).

The spelling of 2000800 in words is "two million, eight hundred", and thus it is an aban number.