5808257280 has 720 divisors, whose sum is σ = 24360424704. Its totient is φ = 1293926400.

The previous prime is 5808257267. The next prime is 5808257297. The reversal of 5808257280 is 827528085.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38465205 + ... + 38465355.

Almost surely, 2^5808257280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5808257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180212352).

5808257280 is an abundant number, since it is smaller than the sum of its proper divisors (18552167424).

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

5808257280 is a wasteful number, since it uses less digits than its factorization.

5808257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5808257280 is about 76211.9234765794. The cubic root of 5808257280 is about 1797.5540110266.

The spelling of 5808257280 in words is "five billion, eight hundred eight million, two hundred fifty-seven thousand, two hundred eighty".