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796938080 = 2553127173
BaseRepresentation
bin101111100000000…
…100111101100000
32001112120122112012
4233200010331200
53113004004310
6211025052052
725514601431
oct5740047540
92045518465
10796938080
1137993a414
121a2a87028
13c91502c3
1477bad488
1549e6ec05
hex2f804f60

796938080 has 144 divisors (see below), whose sum is σ = 1999886112. Its totient is φ = 299980800.

The previous prime is 796938041. The next prime is 796938083. The reversal of 796938080 is 80839697.

It is a super-2 number, since 2×7969380802 = 1270220606708172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796938083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10916924 + ... + 10916996.

It is an arithmetic number, because the mean of its divisors is an integer number (13888098).

Almost surely, 2796938080 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 796938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999943056).

796938080 is an abundant number, since it is smaller than the sum of its proper divisors (1202948032).

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

796938080 is a wasteful number, since it uses less digits than its factorization.

796938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 796938080 is about 28230.0917462200. The cubic root of 796938080 is about 927.1319047037.

The spelling of 796938080 in words is "seven hundred ninety-six million, nine hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 71 73 80 124 142 146 155 160 248 284 292 310 355 365 496 568 584 620 710 730 961 992 1136 1168 1240 1420 1460 1922 2201 2263 2272 2336 2480 2840 2920 3844 4402 4526 4805 4960 5183 5680 5840 7688 8804 9052 9610 10366 11005 11315 11360 11680 15376 17608 18104 19220 20732 22010 22630 25915 30752 35216 36208 38440 41464 44020 45260 51830 68231 70153 70432 72416 76880 82928 88040 90520 103660 136462 140306 153760 160673 165856 176080 181040 207320 272924 280612 321346 341155 350765 352160 362080 414640 545848 561224 642692 682310 701530 803365 829280 1091696 1122448 1285384 1364620 1403060 1606730 2183392 2244896 2570768 2729240 2806120 3213460 4980863 5141536 5458480 5612240 6426920 9961726 10916960 11224480 12853840 19923452 24904315 25707680 39846904 49808630 79693808 99617260 159387616 199234520 398469040 796938080