47760 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 12672.

The previous prime is 47743. The next prime is 47777. The reversal of 47760 is 6774.

It is an interprime number because it is at equal distance from previous prime (47743) and next prime (47777).

It is a tau number, because it is divible by the number of its divisors (40).

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

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.

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 7 ways as a sum of consecutive naturals, for example, 141 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

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).

47760 is an abundant number, since it is smaller than the sum of its proper divisors (101040).

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 sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

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".