There is a sorting algorithm in the standard library, in the header <algorithm>. It sorts inplace, so if you do the following, your original word will become sorted.
std::sort(word.begin(), word.end());
If you don't want to lose the original, make a copy first.
#include <iostream>
#include <algorithm> // this header is required for std::sort to work
int main()
{
std::string s = "dacb";
std::sort(s.begin(), s.end());
std::cout << s << std::endl;
return 0;
}