48777 has 8 divisors (see below), whose sum is σ = 66240. Its totient is φ = 31920.

The previous prime is 48767. The next prime is 48779. The reversal of 48777 is 77784.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48777 - 2⁴ = 48761 is a prime.

It is an Ulam number.

48777 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁴⁸⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

48777 is a deficient number, since it is larger than the sum of its proper divisors (17463).

48777 is a wasteful number, since it uses less digits than its factorization.

48777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 10976, while the sum is 33.

The square root of 48777 is about 220.8551561544. The cubic root of 48777 is about 36.5374607582.

It can be divided in two parts, 4877 and 7, that added together give a palindrome (4884).

The spelling of 48777 in words is "forty-eight thousand, seven hundred seventy-seven".