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78327080 = 235133143113
BaseRepresentation
bin1001010101100…
…10110100101000
312110101102112222
410222302310220
5130022431310
611434453212
71640524556
oct452626450
9173342488
1078327080
1140239327
1222294208
13132c5ab0
14a58cbd6
156d23055
hex4ab2d28

78327080 has 128 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 27095040.

The previous prime is 78327079. The next prime is 78327083. The reversal of 78327080 is 8072387.

It is a happy number.

It is a super-2 number, since 2×783270802 = 12270262922652800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78327080.

It is not an unprimeable number, because it can be changed into a prime (78327083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693104 + ... + 693216.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 278327080 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 78327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

78327080 is an abundant number, since it is smaller than the sum of its proper divisors (123918040).

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

78327080 is a wasteful number, since it uses less digits than its factorization.

78327080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 78327080 is about 8850.2587532795. The cubic root of 78327080 is about 427.8622580602.

The spelling of 78327080 in words is "seventy-eight million, three hundred twenty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 43 52 62 65 86 104 113 124 130 155 172 215 226 248 260 310 344 403 430 452 520 559 565 620 806 860 904 1118 1130 1240 1333 1469 1612 1720 2015 2236 2260 2666 2795 2938 3224 3503 4030 4472 4520 4859 5332 5590 5876 6665 7006 7345 8060 9718 10664 11180 11752 13330 14012 14690 16120 17329 17515 19436 22360 24295 26660 28024 29380 34658 35030 38872 45539 48590 53320 58760 63167 69316 70060 86645 91078 97180 126334 138632 140120 150629 173290 182156 194360 227695 252668 301258 315835 346580 364312 455390 505336 602516 631670 693160 753145 910780 1205032 1263340 1506290 1821560 1958177 2526680 3012580 3916354 6025160 7832708 9790885 15665416 19581770 39163540 78327080