47880 has 96 divisors (see below), whose sum is σ = 187200. Its totient is φ = 10368.

The previous prime is 47869. The next prime is 47881. The reversal of 47880 is 8874.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47881) by changing a digit.

47880 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 23 ways as a sum of consecutive naturals, for example, 2511 + ... + 2529.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2⁴⁷⁸⁸⁰ is an apocalyptic number.

47880 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 47880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

47880 is an abundant number, since it is smaller than the sum of its proper divisors (139320).

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

47880 is a wasteful number, since it uses less digits than its factorization.

47880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47880 is about 218.8149903457. The cubic root of 47880 is about 36.3121012405.

The spelling of 47880 in words is "forty-seven thousand, eight hundred eighty".