5779200 has 216 divisors, whose sum is σ = 22304128. Its totient is φ = 1290240.

The previous prime is 5779199. The next prime is 5779217. The reversal of 5779200 is 29775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134379 + ... + 134421.

Almost surely, 2^5779200 is an apocalyptic number.

5779200 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 5779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152064).

5779200 is an abundant number, since it is smaller than the sum of its proper divisors (16524928).

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

5779200 is a wasteful number, since it uses less digits than its factorization.

5779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 5779200 is about 2403.9966722107. The cubic root of 5779200 is about 179.4551425116.

The spelling of 5779200 in words is "five million, seven hundred seventy-nine thousand, two hundred".