80080 has 80 divisors (see below), whose sum is σ = 249984. Its totient is φ = 23040.

The previous prime is 80077. The next prime is 80107. The reversal of 80080 is 8008.

It is a tau number, because it is divible by the number of its divisors (80).

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.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 6154 + ... + 6166.

2⁸⁰⁰⁸⁰ is an apocalyptic number.

80080 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 80080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

80080 is an abundant number, since it is smaller than the sum of its proper divisors (169904).

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

80080 is a wasteful number, since it uses less digits than its factorization.

80080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 38 counting only the distinct ones).

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

The square root of 80080 is about 282.9840984932. The cubic root of 80080 is about 43.1030519136.

80080 divided by its sum of digits (16) gives a palindrome (5005).

Adding to 80080 its reverse (8008), we get a palindrome (88088).

It can be divided in two parts, 800 and 80, that multiplied together give a cube (64000 = 40³).

The spelling of 80080 in words is "eighty thousand, eighty".