5800878720 has 1536 divisors, whose sum is σ = 28130457600. Its totient is φ = 1114767360.

The previous prime is 5800878709. The next prime is 5800878731. The reversal of 5800878720 is 278780085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5800878709) and next prime (5800878731).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187125105 + ... + 187125135.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^5800878720 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 5800878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

5800878720 is an abundant number, since it is smaller than the sum of its proper divisors (22329578880).

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

5800878720 is a wasteful number, since it uses less digits than its factorization.

5800878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5800878720 is about 76163.4999195809. The cubic root of 5800878720 is about 1796.7925100662.

The spelling of 5800878720 in words is "five billion, eight hundred million, eight hundred seventy-eight thousand, seven hundred twenty".