It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)6.
It is a tau number, because it is divible by the number of its divisors (40).
It is a nialpdrome in base 2 and base 6.
It is a zygodrome in base 2.
It is a congruent number.
7680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
In principle, a polygon with 7680 sides can be constructed with ruler and compass.
27680 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7680 is an equidigital number, since it uses as much as digits as its factorization.
7680 is an evil number, because the sum of its binary digits is even.
The square root of 7680 is about 87.6356092008. The cubic root of 7680 is about 19.7296965946.
The spelling of 7680 in words is "seven thousand, six hundred eighty".