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80799840 = 25325115101
BaseRepresentation
bin1001101000011…
…10100001100000
312122001001112200
410310032201200
5131141043330
612003453200
72000534022
oct464164140
9178031480
1080799840
1141678130
1223087200
1313980474
14aa34012
157160a60
hex4d0e860

80799840 has 144 divisors (see below), whose sum is σ = 300854736. Its totient is φ = 19584000.

The previous prime is 80799833. The next prime is 80799841. The reversal of 80799840 is 4899708.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×807998402 = 13057228288051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80799841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (2089269).

Almost surely, 280799840 is an apocalyptic number.

80799840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150427368).

80799840 is an abundant number, since it is smaller than the sum of its proper divisors (220054896).

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

80799840 is a wasteful number, since it uses less digits than its factorization.

80799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 80799840 is about 8988.8731218101. The cubic root of 80799840 is about 432.3181812301.

The spelling of 80799840 in words is "eighty million, seven hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5101 5280 7920 10202 15303 15840 20404 25505 30606 40808 45909 51010 56111 61212 76515 81616 91818 102020 112222 122424 153030 163232 168333 183636 204040 224444 229545 244848 280555 306060 336666 367272 408080 448888 459090 489696 504999 561110 612120 673332 734544 816160 841665 897776 918180 1009998 1122220 1224240 1346664 1469088 1683330 1795552 1836360 2019996 2244440 2448480 2524995 2693328 3366660 3672720 4039992 4488880 5049990 5386656 6733320 7345440 8079984 8977760 10099980 13466640 16159968 20199960 26933280 40399920 80799840