54820800 has 294 divisors, whose sum is σ = 206550768. Its totient is φ = 14307840.

The previous prime is 54820783. The next prime is 54820819. The reversal of 54820800 is 802845.

54820800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54820800² = 6010640225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1166377 + ... + 1166423.

Almost surely, 2^54820800 is an apocalyptic number.

54820800 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 54820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103275384).

54820800 is an abundant number, since it is smaller than the sum of its proper divisors (151729968).

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

54820800 is an equidigital number, since it uses as much as digits as its factorization.

54820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54820800 is about 7404.1069684331. The cubic root of 54820800 is about 379.8817730082.

The spelling of 54820800 in words is "fifty-four million, eight hundred twenty thousand, eight hundred".