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797560020 = 22355379433
BaseRepresentation
bin101111100010011…
…100110011010100
32001120202020200000
4233202130303110
53113133410040
6211050251300
725523101605
oct5742346324
92046666600
10797560020
1137a224714
121a3126b30
13c930a40a
1477cd1dac
154a044130
hex2f89ccd4

797560020 has 144 divisors (see below), whose sum is σ = 2521296960. Its totient is φ = 211631616.

The previous prime is 797560007. The next prime is 797560051. The reversal of 797560020 is 20065797.

797560020 is a `hidden beast` number, since 7 + 97 + 560 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×7975600202 = 1272203971004800800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841724 + ... + 1842156.

Almost surely, 2797560020 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 797560020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260648480).

797560020 is an abundant number, since it is smaller than the sum of its proper divisors (1723736940).

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

797560020 is a wasteful number, since it uses less digits than its factorization.

797560020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 797560020 is about 28241.1051483472. The cubic root of 797560020 is about 927.3730235961.

The spelling of 797560020 in words is "seven hundred ninety-seven million, five hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 379 405 433 486 540 758 810 866 972 1137 1215 1299 1516 1620 1732 1895 2165 2274 2430 2598 3411 3790 3897 4330 4548 4860 5196 5685 6495 6822 7580 7794 8660 10233 11370 11691 12990 13644 15588 17055 19485 20466 22740 23382 25980 30699 34110 35073 38970 40932 46764 51165 58455 61398 68220 70146 77940 92097 102330 105219 116910 122796 140292 153495 164107 175365 184194 204660 210438 233820 306990 328214 350730 368388 420876 460485 492321 526095 613980 656428 701460 820535 920970 984642 1052190 1476963 1641070 1841940 1969284 2104380 2461605 2953926 3282140 4430889 4923210 5907852 7384815 8861778 9846420 13292667 14769630 17723556 22154445 26585334 29539260 39878001 44308890 53170668 66463335 79756002 88617780 132926670 159512004 199390005 265853340 398780010 797560020