768267257 has 8 divisors (see below), whose sum is σ = 786827496. Its totient is φ = 749924352.

The previous prime is 768267251. The next prime is 768267289. The reversal of 768267257 is 752762867.

It can be written as a sum of positive squares in 4 ways, for example, as 353289616 + 414977641 = 18796^2 + 20371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 768267257 - 2¹⁸ = 768005113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768267251) 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 7 ways as a sum of consecutive naturals, for example, 47168 + ... + 61329.

It is an arithmetic number, because the mean of its divisors is an integer number (98353437).

Almost surely, 2^768267257 is an apocalyptic number.

It is an amenable number.

768267257 is a deficient number, since it is larger than the sum of its proper divisors (18560239).

768267257 is a wasteful number, since it uses less digits than its factorization.

768267257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108667.

The product of its digits is 1975680, while the sum is 50.

The square root of 768267257 is about 27717.6344048333. The cubic root of 768267257 is about 915.8776084225.

The spelling of 768267257 in words is "seven hundred sixty-eight million, two hundred sixty-seven thousand, two hundred fifty-seven".