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80760064 = 2871117241
BaseRepresentation
bin1001101000001…
…00110100000000
312121222000222111
410310010310000
5131133310224
612002545104
72000310040
oct464046400
9177860874
1080760064
1141650260
1223068194
1313968328
14aa23720
157153d94
hex4d04d00

80760064 has 144 divisors (see below), whose sum is σ = 213687936. Its totient is φ = 29491200.

The previous prime is 80760049. The next prime is 80760067. The reversal of 80760064 is 46006708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80760067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334984 + ... + 335224.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944).

Almost surely, 280760064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

80760064 is an abundant number, since it is smaller than the sum of its proper divisors (132927872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80760064 is a wasteful number, since it uses less digits than its factorization.

80760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 80760064 is about 8986.6603362985. The cubic root of 80760064 is about 432.2472293137.

The spelling of 80760064 in words is "eighty million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 241 256 272 308 352 374 448 476 482 544 616 704 748 896 952 964 1088 1232 1309 1408 1496 1687 1792 1904 1928 2176 2464 2618 2651 2816 2992 3374 3808 3856 4097 4352 4928 5236 5302 5984 6748 7616 7712 8194 9856 10472 10604 11968 13496 15232 15424 16388 18557 19712 20944 21208 23936 26992 28679 30464 30848 32776 37114 41888 42416 45067 47872 53984 57358 61696 65552 74228 83776 84832 90134 107968 114716 131104 148456 167552 169664 180268 215936 229432 262208 296912 315469 335104 339328 360536 431872 458864 524416 593824 630938 678656 721072 917728 1048832 1187648 1261876 1442144 1835456 2375296 2523752 2884288 3670912 4750592 5047504 5768576 7341824 10095008 11537152 20190016 40380032 80760064