8020 has 12 divisors (see below), whose sum is σ = 16884. Its totient is φ = 3200.

The previous prime is 8017. The next prime is 8039. The reversal of 8020 is 208.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 1936 = 78^2 + 44^2 .

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

It is a plaindrome in base 14 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7988 and 8006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (1407).

2⁸⁰²⁰ is an apocalyptic number.

It is an amenable number.

8020 is an abundant number, since it is smaller than the sum of its proper divisors (8864).

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 (8442).

8020 is a wasteful number, since it uses less digits than its factorization.

8020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

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

The square root of 8020 is about 89.5544527090. The cubic root of 8020 is about 20.0166527970.

Multiplying 8020 by its sum of digits (10), we get a triangular number (80200 = T₄₀₀).

Adding to 8020 its reverse (208), we get a palindrome (8228).

It can be divided in two parts, 80 and 20, that multiplied together give a square (1600 = 40²).

The spelling of 8020 in words is "eight thousand, twenty".