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80764740 = 22325729157
BaseRepresentation
bin1001101000001…
…01111101000100
312121222021101200
410310011331010
5131133432430
612003022500
72000326500
oct464057504
9177867350
1080764740
1141653821
122306aa30
131396a4b4
14aa25300
157155460
hex4d05f44

80764740 has 108 divisors (see below), whose sum is σ = 285015276. Its totient is φ = 18458496.

The previous prime is 80764729. The next prime is 80764757. The reversal of 80764740 is 4746708.

It is a happy number.

80764740 is a `hidden beast` number, since 8 + 0 + 7 + 647 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 61685316 = 4368^2 + 7854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80764695 and 80764704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4242 + ... + 13398.

Almost surely, 280764740 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 80764740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142507638).

80764740 is an abundant number, since it is smaller than the sum of its proper divisors (204250536).

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

80764740 is a wasteful number, since it uses less digits than its factorization.

80764740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 80764740 is about 8986.9204959207. The cubic root of 80764740 is about 432.2555715105.

The spelling of 80764740 in words is "eighty million, seven hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 9157 18314 27471 36628 45785 54942 64099 82413 91570 109884 128198 137355 164826 183140 192297 256396 274710 320495 329652 384594 412065 448693 549420 576891 640990 769188 824130 897386 961485 1153782 1281980 1346079 1648260 1794772 1922970 2243465 2307564 2692158 2884455 3845940 4038237 4486930 5384316 5768910 6730395 8076474 8973860 11537820 13460790 16152948 20191185 26921580 40382370 80764740