54756800 has 84 divisors (see below), whose sum is σ = 154015440. Its totient is φ = 18769920.

The previous prime is 54756799. The next prime is 54756839. The reversal of 54756800 is 865745.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8756 + ... + 13644.

Almost surely, 2^54756800 is an apocalyptic number.

54756800 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 54756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77007720).

54756800 is an abundant number, since it is smaller than the sum of its proper divisors (99258640).

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

54756800 is a wasteful number, since it uses less digits than its factorization.

54756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 54756800 is about 7399.7837806249. The cubic root of 54756800 is about 379.7338857056.

The spelling of 54756800 in words is "fifty-four million, seven hundred fifty-six thousand, eight hundred".