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768753409 is a prime number
BaseRepresentation
bin101101110100100…
…011111100000001
31222120112201102111
4231310203330001
53033300102114
6204141015321
725023203404
oct5564437401
91876481374
10768753409
11364a398a6
12195554541
13c3362698
1474153d3b
1547753bc4
hex2dd23f01

768753409 has 2 divisors, whose sum is σ = 768753410. Its totient is φ = 768753408.

The previous prime is 768753371. The next prime is 768753463. The reversal of 768753409 is 904357867.

It is a happy number.

768753409 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., 745017025 + 23736384 = 27295^2 + 4872^2 .

It is a cyclic number.

It is not a de Polignac number, because 768753409 - 213 = 768745217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (768751409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384376704 + 384376705.

It is an arithmetic number, because the mean of its divisors is an integer number (384376705).

Almost surely, 2768753409 is an apocalyptic number.

It is an amenable number.

768753409 is a deficient number, since it is larger than the sum of its proper divisors (1).

768753409 is an equidigital number, since it uses as much as digits as its factorization.

768753409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 768753409 is about 27726.4027417911. The cubic root of 768753409 is about 916.0707538165.

The spelling of 768753409 in words is "seven hundred sixty-eight million, seven hundred fifty-three thousand, four hundred nine".