5789200 has 60 divisors (see below), whose sum is σ = 14288148. Its totient is φ = 2252800.

The previous prime is 5789191. The next prime is 5789221. The reversal of 5789200 is 29875.

It can be written as a sum of positive squares in 6 ways, for example, as 1192464 + 4596736 = 1092^2 + 2144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16224 + ... + 16576.

Almost surely, 2^5789200 is an apocalyptic number.

5789200 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 5789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144074).

5789200 is an abundant number, since it is smaller than the sum of its proper divisors (8498948).

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

5789200 is a wasteful number, since it uses less digits than its factorization.

5789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 5789200 is about 2406.0756430337. The cubic root of 5789200 is about 179.5585892029.

The spelling of 5789200 in words is "five million, seven hundred eighty-nine thousand, two hundred".