7,706

[Math.]  7706 = 592+652 and 5965 = 772+062.

 

7,713

[Math.]  Two multiples of number 7713, 7713×4 = 30,852 and 7713×9 = 69,417, use each of 10 digits 0-9 once.

 

7,714

[Math.]  A pyramidal number (sum of all squares of integers from 1 to 28): 7714 = 12+22+…+272+282.

 

7,740

[Math.]  Sum (in degrees) of all internal angles of a 45-side polygon.

 

7,744

[Math.]  The only known square of no isolated digit, 7744 = 882.

 

7,750

[Math.]  A triangular number (sum of all integers from 1 to 124): 7750 = 1+2+…+123+124.

 

7,776

[Math.]  A fifth power of 6: 7776 = 65.

 

[Math.]  77765 = 28,430,288,029,929,701,376 = (2843+0288+0299+2970+1376)5.

 

7,777

[Math.]  77772 = 60,481,729 = (6048+1729)2 = 77772.

 

[Math.]  11113 = 1,371,330,631 and 13+7133+0631 = 7777.

             44443 = 87,765,160,384 and 877+6516+0384 = 7777.

 

[Phone]  The number to key in text messaging on telephone keypad for letter S.

 

[Zip]  U.S. Postal Zip Code: Holmdel, New Jersey 07777.

 

7,785

[Math.]  Two multiples of number 7785, 7785×5 = 38,925 and 7785×6 = 46,710, use each of 10 digits 0-9 once.

 

7,793

[Math.]  Circular prime numbers: all 4 numbers 3779, 7793, 7937 and 9377 are prime.