It is a tau number, because it is divible by the number of its divisors (40).
It is a nialpdrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 47760.
It is an unprimeable number.
47760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
247760 is an apocalyptic number.
47760 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 47760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47760 is a wasteful number, since it uses less digits than its factorization.
47760 is an odious number, because the sum of its binary digits is odd.
The square root of 47760 is about 218.5406140744. The cubic root of 47760 is about 36.2817399377.
The spelling of 47760 in words is "forty-seven thousand, seven hundred sixty".