4080 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
4080 is an undulating number in base 13.
It is a nialpdrome in base 2, base 4, base 8, base 9 and base 16.
It is a zygodrome in base 2, base 4 and base 9.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 4080 sides can be constructed with ruler and compass.
24080 is an apocalyptic number.
4080 is a gapful number since it is divisible by the number (40) 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 4080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4080 is a wasteful number, since it uses less digits than its factorization.
4080 is an evil number, because the sum of its binary digits is even.
The square root of 4080 is about 63.8748776907. The cubic root of 4080 is about 15.9791394809.
Adding to 4080 its reverse (804), we get a palindrome (4884).
The spelling of 4080 in words is "four thousand, eighty".