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768657793 is a prime number
BaseRepresentation
bin101101110100001…
…100100110000001
31222120100212021011
4231310030212001
53033234022133
6204135000521
725022324551
oct5564144601
91876325234
10768657793
11364983a82
12195509141
13c332acc7
147412b161
15477356cd
hex2dd0c981

768657793 has 2 divisors, whose sum is σ = 768657794. Its totient is φ = 768657792.

The previous prime is 768657763. The next prime is 768657823. The reversal of 768657793 is 397756867.

It is a balanced prime because it is at equal distance from previous prime (768657763) and next prime (768657823).

It can be written as a sum of positive squares in only one way, i.e., 765794929 + 2862864 = 27673^2 + 1692^2 .

It is a cyclic number.

It is not a de Polignac number, because 768657793 - 25 = 768657761 is a prime.

It is not a weakly prime, because it can be changed into another prime (768657733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384328896 + 384328897.

It is an arithmetic number, because the mean of its divisors is an integer number (384328897).

Almost surely, 2768657793 is an apocalyptic number.

It is an amenable number.

768657793 is a deficient number, since it is larger than the sum of its proper divisors (1).

768657793 is an equidigital number, since it uses as much as digits as its factorization.

768657793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13335840, while the sum is 58.

The square root of 768657793 is about 27724.6784111196. The cubic root of 768657793 is about 916.0327725637.

The spelling of 768657793 in words is "seven hundred sixty-eight million, six hundred fifty-seven thousand, seven hundred ninety-three".