54780 has 48 divisors (see below), whose sum is σ = 169344. Its totient is φ = 13120.

The previous prime is 54779. The next prime is 54787. The reversal of 54780 is 8745.

It is a self number, because there is not a number n which added to its sum of digits gives 54780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁵⁴⁷⁸⁰ 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 54780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

54780 is an abundant number, since it is smaller than the sum of its proper divisors (114564).

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

54780 is a wasteful number, since it uses less digits than its factorization.

54780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 54780 is about 234.0512764332. The cubic root of 54780 is about 37.9787508161.

Subtracting from 54780 its sum of digits (24), we obtain a square (54756 = 234²).

The spelling of 54780 in words is "fifty-four thousand, seven hundred eighty".