5090800 has 120 divisors (see below), whose sum is σ = 14530320. Its totient is φ = 1689600.

The previous prime is 5090779. The next prime is 5090807. The reversal of 5090800 is 80905.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5090807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57156 + ... + 57244.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

Almost surely, 2^5090800 is an apocalyptic number.

5090800 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 5090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160).

5090800 is an abundant number, since it is smaller than the sum of its proper divisors (9439520).

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

5090800 is a wasteful number, since it uses less digits than its factorization.

5090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 5090800 is about 2256.2801244526. The cubic root of 5090800 is about 172.0264967292.

The spelling of 5090800 in words is "five million, ninety thousand, eight hundred".