54768800 has 72 divisors (see below), whose sum is σ = 134741376. Its totient is φ = 21738240.

The previous prime is 54768793. The next prime is 54768803. The reversal of 54768800 is 886745.

It is not an unprimeable number, because it can be changed into a prime (54768803) 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 11 ways as a sum of consecutive naturals, for example, 178247 + ... + 178553.

It is an arithmetic number, because the mean of its divisors is an integer number (1871408).

Almost surely, 2^54768800 is an apocalyptic number.

54768800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370688).

54768800 is an abundant number, since it is smaller than the sum of its proper divisors (79972576).

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

54768800 is a wasteful number, since it uses less digits than its factorization.

54768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 54768800 is about 7400.5945707085. The cubic root of 54768800 is about 379.7616233491.

The spelling of 54768800 in words is "fifty-four million, seven hundred sixty-eight thousand, eight hundred".