808080 has 160 divisors (see below), whose sum is σ = 3166464. Its totient is φ = 165888.

The previous prime is 808039. The next prime is 808081. The reversal of 808080 is 80808.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

808080 is an undulating number in base 10.

808080 is a modest number, since divided by 8080 gives 80 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 808080.

It is not an unprimeable number, because it can be changed into a prime (808081) 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 31 ways as a sum of consecutive naturals, for example, 21822 + ... + 21858.

2⁸⁰⁸⁰⁸⁰ is an apocalyptic number.

808080 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 808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583232).

808080 is an abundant number, since it is smaller than the sum of its proper divisors (2358384).

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

808080 is a wasteful number, since it uses less digits than its factorization.

808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 808080 is about 898.9327004843. The cubic root of 808080 is about 93.1432639883.

808080 divided by its sum of digits (24) gives a triangular number (33670 = T₂₅₉).

Adding to 808080 its reverse (80808), we get a palindrome (888888).

The spelling of 808080 in words is "eight hundred eight thousand, eighty".