5777200 has 120 divisors (see below), whose sum is σ = 16467696. Its totient is φ = 1920000.

The previous prime is 5777183. The next prime is 5777201. The reversal of 5777200 is 27775.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5777201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57150 + ... + 57250.

Almost surely, 2^5777200 is an apocalyptic number.

5777200 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 5777200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233848).

5777200 is an abundant number, since it is smaller than the sum of its proper divisors (10690496).

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

5777200 is a wasteful number, since it uses less digits than its factorization.

5777200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 5777200 is about 2403.5806622620. The cubic root of 5777200 is about 179.4344388562.

It can be divided in two parts, 577 and 7200, that added together give a palindrome (7777).

The spelling of 5777200 in words is "five million, seven hundred seventy-seven thousand, two hundred".