7777 = 7 x 11 x 101. It is a palindrome with exactly three distinct palindromic prime factors (A046409).
7777 has the representation 65 + 1 (A062394). It is 100001 (palindromic) in base 6 (A029963 and A033043).
7777 divides 365 - 1.
7777 is a number that is the sum of two positive fifth powers (A003347 and A004842).
7777 is a Kaprekar number (A006886).
Source: OEIS
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