5783200 has 36 divisors (see below), whose sum is σ = 14120190. Its totient is φ = 2312960.

The previous prime is 5783177. The next prime is 5783203. The reversal of 5783200 is 23875.

It can be written as a sum of positive squares in 3 ways, for example, as 5626384 + 156816 = 2372^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5783203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2815 + ... + 4414.

Almost surely, 2^5783200 is an apocalyptic number.

5783200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5783200 is an abundant number, since it is smaller than the sum of its proper divisors (8336990).

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

5783200 is a wasteful number, since it uses less digits than its factorization.

5783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 5783200 is about 2404.8284762120. The cubic root of 5783200 is about 179.4965354969.

It can be divided in two parts, 578 and 3200, that multiplied together give a square (1849600 = 1360²).

The spelling of 5783200 in words is "five million, seven hundred eighty-three thousand, two hundred".