Search a number
-
+
767878768 = 241936997
BaseRepresentation
bin101101110001001…
…110011001110000
31222111220021122101
4231301032121300
53033034110033
6204110150144
725012601416
oct5561163160
91874807571
10767878768
113644a1758
121951b2354
13c3117547
1473da72b6
154762e97d
hex2dc4e670

767878768 has 40 divisors (see below), whose sum is σ = 1570631120. Its totient is φ = 363680064.

The previous prime is 767878717. The next prime is 767878777. The reversal of 767878768 is 867878767.

767878768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106246 + ... + 113242.

It is an arithmetic number, because the mean of its divisors is an integer number (39265778).

Almost surely, 2767878768 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 767878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785315560).

767878768 is an abundant number, since it is smaller than the sum of its proper divisors (802752352).

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

767878768 is an equidigital number, since it uses as much as digits as its factorization.

767878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7018 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 64.

The square root of 767878768 is about 27710.6255432821. The cubic root of 767878768 is about 915.7232053969.

Subtracting 767878768 from its reverse (867878767), we obtain a palindrome (99999999).

The spelling of 767878768 in words is "seven hundred sixty-seven million, eight hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6859 6997 13718 13994 27436 27988 54872 55976 109744 111952 132943 265886 531772 1063544 2127088 2525917 5051834 10103668 20207336 40414672 47992423 95984846 191969692 383939384 767878768