The 5th Challenging Number Game

Number Theory Level pending

Find the largest 7-digit number that satisfies: \(\\ \overline { abcdefg } ={ a }^{ 7 }+{ b }^{ 7 }+{ c }^{ 7 }+{ d }^{ 7 }+{ e }^{ 7 }+{ f }^{ 7 }+{ g }^{ 7 }\)

...Oh wait, too easy! Find the product of all 7 digits of that number: \(abcdefg\\\)

Up until now, this is the last problem in my set, Game Of Numbers. But that's not THE END...

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