80020 has 12 divisors (see below), whose sum is σ = 168084. Its totient is φ = 32000.

The previous prime is 79999. The next prime is 80021. The reversal of 80020 is 2008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 66564 = 116^2 + 258^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 79979 and 80006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80021) 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 3 ways as a sum of consecutive naturals, for example, 1981 + ... + 2020.

It is an arithmetic number, because the mean of its divisors is an integer number (14007).

2⁸⁰⁰²⁰ is an apocalyptic number.

It is an amenable number.

80020 is an abundant number, since it is smaller than the sum of its proper divisors (88064).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84042).

80020 is a wasteful number, since it uses less digits than its factorization.

80020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4008 counting only the distinct ones).

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

The square root of 80020 is about 282.8780656042. The cubic root of 80020 is about 43.0922842259.

Adding to 80020 its reverse (2008), we get a palindrome (82028).

It can be divided in two parts, 800 and 20, that added together give a triangular number (820 = T₄₀).

The spelling of 80020 in words is "eighty thousand, twenty".