5809792800 has 432 divisors, whose sum is σ = 22228577280. Its totient is φ = 1314109440.

The previous prime is 5809792763. The next prime is 5809792817. The reversal of 5809792800 is 82979085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5809792800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14935006 + ... + 14935394.

It is an arithmetic number, because the mean of its divisors is an integer number (51455040).

Almost surely, 2^5809792800 is an apocalyptic number.

5809792800 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 5809792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114288640).

5809792800 is an abundant number, since it is smaller than the sum of its proper divisors (16418784480).

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

5809792800 is a wasteful number, since it uses less digits than its factorization.

5809792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 5809792800 is about 76221.9968250636. The cubic root of 5809792800 is about 1797.7124025948.

The spelling of 5809792800 in words is "five billion, eight hundred nine million, seven hundred ninety-two thousand, eight hundred".