5158800 has 90 divisors (see below), whose sum is σ = 17914962. Its totient is φ = 1374720.

The previous prime is 5158793. The next prime is 5158801. The reversal of 5158800 is 88515.

5158800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 898704 + 4260096 = 948^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×5158800² = 53226434880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5158801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2884 + ... + 4316.

Almost surely, 2^5158800 is an apocalyptic number.

5158800 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 5158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957481).

5158800 is an abundant number, since it is smaller than the sum of its proper divisors (12756162).

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

5158800 is a wasteful number, since it uses less digits than its factorization.

5158800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5158800 is about 2271.2991876897. The cubic root of 5158800 is about 172.7890553768.

The spelling of 5158800 in words is "five million, one hundred fifty-eight thousand, eight hundred".