"Imagine" the Taming Helmet

$\begin{array}{ccccccc} &&T & A &M & I & N&G\\ + & &H & E& L& M & E &T \\ \hline & &9 &2 & 5 & 7 & 6 &4\\ \hline \end{array}$

Above represents a cryptogram such that each letter represents a distinct single digit positive integer. Find the value of the 7-digit integer $$\overline{IMAGINE}$$.

×