20800080 has 120 divisors (see below), whose sum is σ = 79852032. Its totient is φ = 4753152.

The previous prime is 20800033. The next prime is 20800081. The reversal of 20800080 is 8000802.

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 (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20800081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2977 + ... + 7103.

Almost surely, 2^20800080 is an apocalyptic number.

20800080 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 20800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39926016).

20800080 is an abundant number, since it is smaller than the sum of its proper divisors (59051952).

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

20800080 is a wasteful number, since it uses less digits than its factorization.

20800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20800080 is about 4560.7104709683. The cubic root of 20800080 is about 275.0141259961.

Adding to 20800080 its reverse (8000802), we get a palindrome (28800882).

The spelling of 20800080 in words is "twenty million, eight hundred thousand, eighty".