My First Cryptarithm!

Logic Level 3

\[ \large{\begin{array}{ccccccc} & & & & J & E & E & P\\ \times & & & & J & E & E& P\\ \hline & B & E & E & B & E & E& P\\ \hline \end{array}} \]

The above shows a cryptarithm such that each letter represents a distinct single non-negative integer with \(J, B\) being non-zero. Find the sum of all the possible values of the \(4\)-digit number \(\overline{JEEP} \).

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