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796682768 = 24721979677
BaseRepresentation
bin101111011111000…
…110101000010000
32001112002200022012
4233133012220100
53112422322033
6211015402052
725512456200
oct5737065020
92045080265
10796682768
11379785612
121a2983328
13c909102b
1477b44400
1549e1e248
hex2f7c6a10

796682768 has 120 divisors (see below), whose sum is σ = 1916841600. Its totient is φ = 318898944.

The previous prime is 796682707. The next prime is 796682771. The reversal of 796682768 is 867286697.

796682768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (12192768) is a multiple of the sum of its prime divisors (784).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176446 + ... + 1177122.

It is an arithmetic number, because the mean of its divisors is an integer number (15973680).

Almost surely, 2796682768 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 796682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958420800).

796682768 is an abundant number, since it is smaller than the sum of its proper divisors (1120158832).

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

796682768 is a wasteful number, since it uses less digits than its factorization.

796682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 59.

The square root of 796682768 is about 28225.5694008110. The cubic root of 796682768 is about 927.0328868967.

The spelling of 796682768 in words is "seven hundred ninety-six million, six hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 79 98 112 133 152 158 196 266 304 316 392 532 553 632 677 784 931 1064 1106 1264 1354 1501 1862 2128 2212 2708 3002 3724 3871 4424 4739 5416 6004 7448 7742 8848 9478 10507 10832 12008 12863 14896 15484 18956 21014 24016 25726 30968 33173 37912 42028 51452 53483 61936 66346 73549 75824 84056 90041 102904 106966 132692 147098 168112 180082 205808 213932 265384 294196 360164 374381 427864 530768 588392 630287 720328 748762 855728 1016177 1176784 1260574 1440656 1497524 2032354 2521148 2620667 2995048 4064708 5042296 5241334 5990096 7113239 8129416 10084592 10482668 14226478 16258832 20965336 28452956 41930672 49792673 56905912 99585346 113811824 199170692 398341384 796682768