5579800 has 48 divisors (see below), whose sum is σ = 13548240. Its totient is φ = 2133120.

The previous prime is 5579789. The next prime is 5579801. The reversal of 5579800 is 89755.

It is a super-2 number, since 2×5579800² = 62268336080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 5206.

It is an arithmetic number, because the mean of its divisors is an integer number (282255).

Almost surely, 2^5579800 is an apocalyptic number.

5579800 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 5579800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774120).

5579800 is an abundant number, since it is smaller than the sum of its proper divisors (7968440).

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

5579800 is a wasteful number, since it uses less digits than its factorization.

5579800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 5579800 is about 2362.1600284485. The cubic root of 5579800 is about 177.3670233288.

The spelling of 5579800 in words is "five million, five hundred seventy-nine thousand, eight hundred".