54777760 has 96 divisors (see below), whose sum is σ = 140192640. Its totient is φ = 20155392.

The previous prime is 54777739. The next prime is 54777761. The reversal of 54777760 is 6777745.

54777760 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 (54777761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112237 + ... + 112723.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^54777760 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 54777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

54777760 is an abundant number, since it is smaller than the sum of its proper divisors (85414880).

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

54777760 is a wasteful number, since it uses less digits than its factorization.

54777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 43.

The square root of 54777760 is about 7401.1999027185. The cubic root of 54777760 is about 379.7823314810.

The spelling of 54777760 in words is "fifty-four million, seven hundred seventy-seven thousand, seven hundred sixty".