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768704280 = 2335192331447
BaseRepresentation
bin101101110100010…
…111111100011000
31222120110020000220
4231310113330120
53033242014110
6204140000040
725022610231
oct5564277430
91876406026
10768704280
11364a059a3
12195530020
13c3346206
1474140088
1547744370
hex2dd17f18

768704280 has 128 divisors (see below), whose sum is σ = 2439590400. Its totient is φ = 193231872.

The previous prime is 768704273. The next prime is 768704311. The reversal of 768704280 is 82407867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530517 + ... + 531963.

It is an arithmetic number, because the mean of its divisors is an integer number (19059300).

Almost surely, 2768704280 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 768704280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219795200).

768704280 is an abundant number, since it is smaller than the sum of its proper divisors (1670886120).

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

768704280 is a wasteful number, since it uses less digits than its factorization.

768704280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 768704280 is about 27725.5167670505. The cubic root of 768704280 is about 916.0512388467.

The spelling of 768704280 in words is "seven hundred sixty-eight million, seven hundred four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 233 285 380 456 466 570 699 760 932 1140 1165 1398 1447 1864 2280 2330 2796 2894 3495 4341 4427 4660 5592 5788 6990 7235 8682 8854 9320 11576 13281 13980 14470 17364 17708 21705 22135 26562 27493 27960 28940 34728 35416 43410 44270 53124 54986 57880 66405 82479 86820 88540 106248 109972 132810 137465 164958 173640 177080 219944 265620 274930 329916 337151 412395 531240 549860 659832 674302 824790 1011453 1099720 1348604 1649580 1685755 2022906 2697208 3299160 3371510 4045812 5057265 6405869 6743020 8091624 10114530 12811738 13486040 19217607 20229060 25623476 32029345 38435214 40458120 51246952 64058690 76870428 96088035 128117380 153740856 192176070 256234760 384352140 768704280