768005757 has 12 divisors (see below), whose sum is σ = 1135140864. Its totient is φ = 500096520.

The previous prime is 768005747. The next prime is 768005759. The reversal of 768005757 is 757500867.

768005757 is a `hidden beast` number, since 76 + 8 + 0 + 0 + 575 + 7 = 666.

It is not a de Polignac number, because 768005757 - 2⁴ = 768005741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768005759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991869 + ... + 992642.

It is an arithmetic number, because the mean of its divisors is an integer number (94595072).

Almost surely, 2^768005757 is an apocalyptic number.

It is an amenable number.

768005757 is a deficient number, since it is larger than the sum of its proper divisors (367135107).

768005757 is a wasteful number, since it uses less digits than its factorization.

768005757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984560 (or 1984557 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 768005757 is about 27712.9167898293. The cubic root of 768005757 is about 915.7736822730.

The spelling of 768005757 in words is "seven hundred sixty-eight million, five thousand, seven hundred fifty-seven".