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800812980 = 223451144939
BaseRepresentation
bin101111101110110…
…110111110110100
32001210212111220000
4233232312332310
53120002003410
6211244111300
725562540502
oct5756667664
92053774800
10800812980
11381046710
121a4235530
13c9ba8c46
14784db672
154a487dc0
hex2fbb6fb4

800812980 has 120 divisors (see below), whose sum is σ = 2740620960. Its totient is φ = 194132160.

The previous prime is 800812979. The next prime is 800812981. The reversal of 800812980 is 89218008.

It is an interprime number because it is at equal distance from previous prime (800812979) and next prime (800812981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800812981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4650 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (22838508).

Almost surely, 2800812980 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 800812980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370310480).

800812980 is an abundant number, since it is smaller than the sum of its proper divisors (1939807980).

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

800812980 is a wasteful number, since it uses less digits than its factorization.

800812980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44971 (or 44960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 800812980 is about 28298.6391898975. The cubic root of 800812980 is about 928.6321201695.

The spelling of 800812980 in words is "eight hundred million, eight hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 44939 89878 134817 179756 224695 269634 404451 449390 494329 539268 674085 808902 898780 988658 1213353 1348170 1482987 1617804 1977316 2022255 2426706 2471645 2696340 2965974 3640059 4044510 4448961 4853412 4943290 5931948 6066765 7280118 7414935 8089020 8897922 9886580 12133530 13346883 14560236 14829870 17795844 18200295 22244805 24267060 26693766 29659740 36400590 40040649 44489610 53387532 66734415 72801180 80081298 88979220 133468830 160162596 200203245 266937660 400406490 800812980