5427820800 has 432 divisors, whose sum is σ = 20164959360. Its totient is φ = 1428480000.

The previous prime is 5427820787. The next prime is 5427820831. The reversal of 5427820800 is 80287245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5427820800² = 58922477273825280000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 17452645 + ... + 17452955.

Almost surely, 2^5427820800 is an apocalyptic number.

5427820800 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 5427820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082479680).

5427820800 is an abundant number, since it is smaller than the sum of its proper divisors (14737138560).

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

5427820800 is a wasteful number, since it uses less digits than its factorization.

5427820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5427820800 is about 73673.7456628886. The cubic root of 5427820800 is about 1757.4183913970.

It can be divided in two parts, 54278 and 20800, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 5427820800 in words is "five billion, four hundred twenty-seven million, eight hundred twenty thousand, eight hundred".