5800784000 has 256 divisors, whose sum is σ = 16428821760. Its totient is φ = 2016256000.

The previous prime is 5800783987. The next prime is 5800784029. The reversal of 5800784000 is 4870085.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047284 + ... + 4048716.

It is an arithmetic number, because the mean of its divisors is an integer number (64175085).

Almost surely, 2^5800784000 is an apocalyptic number.

5800784000 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 5800784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214410880).

5800784000 is an abundant number, since it is smaller than the sum of its proper divisors (10628037760).

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

5800784000 is a wasteful number, since it uses less digits than its factorization.

5800784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 5800784000 is about 76162.8780968787. The cubic root of 5800784000 is about 1796.7827303345.

The spelling of 5800784000 in words is "five billion, eight hundred million, seven hundred eighty-four thousand".