5807068800 has 768 divisors, whose sum is σ = 22665216000. Its totient is φ = 1293926400.

The previous prime is 5807068763. The next prime is 5807068829. The reversal of 5807068800 is 88607085.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73507161 + ... + 73507239.

It is an arithmetic number, because the mean of its divisors is an integer number (29512000).

Almost surely, 2^5807068800 is an apocalyptic number.

5807068800 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 5807068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332608000).

5807068800 is an abundant number, since it is smaller than the sum of its proper divisors (16858147200).

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

5807068800 is a wasteful number, since it uses less digits than its factorization.

5807068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5807068800 is about 76204.1258725536. The cubic root of 5807068800 is about 1797.4313980742.

The spelling of 5807068800 in words is "five billion, eight hundred seven million, sixty-eight thousand, eight hundred".