8080 has 20 divisors (see below), whose sum is σ = 18972. Its totient is φ = 3200.

The previous prime is 8069. The next prime is 8081. The reversal of 8080 is 808.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 2304 = 76^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

8080 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081) by changing a digit.

8080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 30 + ... + 130.

2⁸⁰⁸⁰ is an apocalyptic number.

8080 is a gapful number since it is divisible by the number (80) 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 8080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486).

8080 is an abundant number, since it is smaller than the sum of its proper divisors (10892).

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

8080 is a wasteful number, since it uses less digits than its factorization.

8080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8080 is about 89.8888202170. Note that the first 4 decimals coincide. The cubic root of 8080 is about 20.0664456708.

8080 divided by its sum of digits (16) gives a palindrome (505).

Adding to 8080 its reverse (808), we get a palindrome (8888).

The spelling of 8080 in words is "eight thousand, eighty".