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799764864 = 273171011213
BaseRepresentation
bin101111101010110…
…111000110000000
32001201220021010220
4233222313012000
53114214433424
6211205423040
725550613663
oct5752670600
92051807126
10799764864
113804a01a8
121a3a0aa80
13c98ccb62
14783076da
154a32c579
hex2fab7180

799764864 has 128 divisors (see below), whose sum is σ = 2273482080. Its totient is φ = 248217600.

The previous prime is 799764857. The next prime is 799764887. The reversal of 799764864 is 468467997.

799764864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 799764798 and 799764807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658722 + ... + 659934.

Almost surely, 2799764864 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 799764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136741040).

799764864 is an abundant number, since it is smaller than the sum of its proper divisors (1473717216).

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

799764864 is a wasteful number, since it uses less digits than its factorization.

799764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 799764864 is about 28280.1142854834. The cubic root of 799764864 is about 928.2268074244.

The spelling of 799764864 in words is "seven hundred ninety-nine million, seven hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 128 136 192 202 204 272 303 384 404 408 544 606 808 816 1088 1212 1213 1616 1632 1717 2176 2424 2426 3232 3264 3434 3639 4848 4852 5151 6464 6528 6868 7278 9696 9704 10302 12928 13736 14556 19392 19408 20604 20621 27472 29112 38784 38816 41208 41242 54944 58224 61863 77632 82416 82484 109888 116448 122513 123726 155264 164832 164968 219776 232896 245026 247452 329664 329936 367539 465792 490052 494904 659328 659872 735078 980104 989808 1319744 1470156 1960208 1979616 2082721 2639488 2940312 3920416 3959232 4165442 5880624 6248163 7840832 7918464 8330884 11761248 12496326 15681664 16661768 23522496 24992652 33323536 47044992 49985304 66647072 99970608 133294144 199941216 266588288 399882432 799764864