54766800 has 240 divisors, whose sum is σ = 213111360. Its totient is φ = 13248000.

The previous prime is 54766787. The next prime is 54766807. The reversal of 54766800 is 866745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54766807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118570 + ... + 119030.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^54766800 is an apocalyptic number.

54766800 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 54766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

54766800 is an abundant number, since it is smaller than the sum of its proper divisors (158344560).

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

54766800 is a wasteful number, since it uses less digits than its factorization.

54766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54766800 is about 7400.4594451966. The cubic root of 54766800 is about 379.7570006899.

The spelling of 54766800 in words is "fifty-four million, seven hundred sixty-six thousand, eight hundred".