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practical n.  and  zygodrome

First numbers that belong to both sets:

66, 88, 666, 888, 1100, 1122, 1144, 1188, 2200, 2244, 2288, 3300, 3344, 3366, 3388, 4400, 4422, 4488, 5500, 5544, 6600, 6666, 6688, 7700, 7722, 7744, 7788, 8800, 8844, 8888, 9900, 9944, 11000, 11100, 22000, 22200, 22288, 33000, 33222, 33300, 44000, 44400, 55000, 55500, 55566, 66000, 66222, 66444, 66600, 77000, 77700, 88000, 88800, 88844, 99000, 99666, 99900, 99944, 110000, 110088, 111000, 111100, 111144, 111188, 111222, 111888, 112200, 112266, 112288, 113300, 113322, 113344, 114400, 114444, 115500, 115544, 115566, 116600, 116622, 116688, 117700, 117744, 118800, 118888, 119900, 119922, 119944, 119988, 220000, 220088, 221100, 221144, 222000, 222200, 222222, 222288, 222444, 222888, 223300, 223344, 224400, 224466, 225500, 225522, 225544, 226600, 226644, 226688, 227700, 227744, 227766, 228800, 228888, 229900, 229944, 330000, 330088, 331100, 331122, 331144, 331188, 332200, 332244, 332288, 333000, 333300, 333666, 333888, 334400, 334422, 334488, 335500, 335544, 336600, 337700, 337722, 337744, 337788, 338800, 338844, 339900, 339966, 440000, 440022, 441100, 441144, 442200, 442288, 443300, 443344, 444000, 444222, 444400, 444444, 444888, 445500, 445544, 445566, 446600, 446622, 446688, 447700, 447744, 448800, 449900, 449922, 449988, 550000, 550044, 550088, 551100, 552200, 552244, 552288, 553300, 553344, 554400, 554466, 555000, 555444, 555500, 555522, 555544, 555588, 555888, 556600, 557700, 557766, 558800, 558888, 559900, 559944, 660000, 660066, 660088, 661100, 661122, 661144, 662200, 662244, 662288, 663300, 663366, 664400, 664488, 665500, 666000, 666444, 666600, 666666, 666688, 666888, 667700, 667722, 667744, 668800, 668844, 668888, 669900, 669944, 770000, 771100, 771144, 772200, 772288, 773300, 773344, 773388, 774400, 774488, 775500, 775544, 776600, 776622, 776688, 777000, 777222, 777444, 777700, 777744, 777888, 778800, 778888, 779900, 779922, 779988, 880000, 880044, 880088, 881100, 881144, 881166, 882200, 882288, 883300, 883344, 884400, 884488, 885500, 885544, 886600, 886688, 887700, 887744, 888000, 888444, 888800, 888822, 888888, 889900, 990000, 991100, 992200, 993300, 993344, 993366, 994400, 994422, 995500, 995544.

Some larger examples :