48780 has 36 divisors (see below), whose sum is σ = 148512. Its totient is φ = 12960.

The previous prime is 48779. The next prime is 48781. The reversal of 48780 is 8784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48779) and next prime (48781).

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48780.

It is not an unprimeable number, because it can be changed into a prime (48781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 315.

2⁴⁸⁷⁸⁰ 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 48780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256).

48780 is an abundant number, since it is smaller than the sum of its proper divisors (99732).

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

48780 is a wasteful number, since it uses less digits than its factorization.

48780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

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

The square root of 48780 is about 220.8619478317. The cubic root of 48780 is about 36.5382098143.

It can be divided in two parts, 48 and 780, that added together give a palindrome (828).

The spelling of 48780 in words is "forty-eight thousand, seven hundred eighty".