5086800 has 150 divisors (see below), whose sum is σ = 18372398. Its totient is φ = 1347840.

The previous prime is 5086799. The next prime is 5086811. The reversal of 5086800 is 86805.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 4981824 = 324^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32322 + ... + 32478.

Almost surely, 2^5086800 is an apocalyptic number.

5086800 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 5086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186199).

5086800 is an abundant number, since it is smaller than the sum of its proper divisors (13285598).

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

5086800 is a wasteful number, since it uses less digits than its factorization.

5086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5086800 is about 2255.3935355055. The cubic root of 5086800 is about 171.9814293994.

It can be divided in two parts, 5086 and 800, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5086800 in words is "five million, eighty-six thousand, eight hundred".