54802800 has 180 divisors, whose sum is σ = 204985144. Its totient is φ = 13478400.

The previous prime is 54802793. The next prime is 54802807. The reversal of 54802800 is 820845.

It is an interprime number because it is at equal distance from previous prime (54802793) and next prime (54802807).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54802807) 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 35 ways as a sum of consecutive naturals, for example, 46215 + ... + 47385.

Almost surely, 2^54802800 is an apocalyptic number.

54802800 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 54802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102492572).

54802800 is an abundant number, since it is smaller than the sum of its proper divisors (150182344).

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

54802800 is a wasteful number, since it uses less digits than its factorization.

54802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

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

The square root of 54802800 is about 7402.8913270424. The cubic root of 54802800 is about 379.8401913431.

The spelling of 54802800 in words is "fifty-four million, eight hundred two thousand, eight hundred".