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768401609 is a prime number
BaseRepresentation
bin101101110011001…
…110000011001001
31222112212211211212
4231303032003021
53033202322414
6204125302505
725020206633
oct5563160311
91875784755
10768401609
11364819558
12195404a35
13c326b511
14740a1a53
15476d483e
hex2dcce0c9

768401609 has 2 divisors, whose sum is σ = 768401610. Its totient is φ = 768401608.

The previous prime is 768401593. The next prime is 768401639. The reversal of 768401609 is 906104867.

768401609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408161209 + 360240400 = 20203^2 + 18980^2 .

It is an emirp because it is prime and its reverse (906104867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768401609 - 24 = 768401593 is a prime.

It is not a weakly prime, because it can be changed into another prime (768401639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384200804 + 384200805.

It is an arithmetic number, because the mean of its divisors is an integer number (384200805).

Almost surely, 2768401609 is an apocalyptic number.

It is an amenable number.

768401609 is a deficient number, since it is larger than the sum of its proper divisors (1).

768401609 is an equidigital number, since it uses as much as digits as its factorization.

768401609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 768401609 is about 27720.0578823350. The cubic root of 768401609 is about 915.9309938450.

The spelling of 768401609 in words is "seven hundred sixty-eight million, four hundred one thousand, six hundred nine".