48776 has 32 divisors (see below), whose sum is σ = 114240. Its totient is φ = 19008.

The previous prime is 48767. The next prime is 48779. The reversal of 48776 is 67784.

48776 is nontrivially palindromic in base 3.

48776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48779) by changing a digit.

48776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2⁴⁸⁷⁷⁶ 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 48776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120).

48776 is an abundant number, since it is smaller than the sum of its proper divisors (65464).

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

48776 is a wasteful number, since it uses less digits than its factorization.

48776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 48776 is about 220.8528922156. The cubic root of 48776 is about 36.5372110659.

The spelling of 48776 in words is "forty-eight thousand, seven hundred seventy-six".