5823820800 has 792 divisors, whose sum is σ = 25025410176. Its totient is φ = 1265172480.

The previous prime is 5823820771. The next prime is 5823820811. The reversal of 5823820800 is 80283285.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 37094322 + ... + 37094478.

Almost surely, 2^5823820800 is an apocalyptic number.

5823820800 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 5823820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512705088).

5823820800 is an abundant number, since it is smaller than the sum of its proper divisors (19201589376).

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

5823820800 is a wasteful number, since it uses less digits than its factorization.

5823820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5823820800 is about 76313.9620253070. The cubic root of 5823820800 is about 1799.1581248278.

The spelling of 5823820800 in words is "five billion, eight hundred twenty-three million, eight hundred twenty thousand, eight hundred".