768959667 has 48 divisors (see below), whose sum is σ = 1328291328. Its totient is φ = 419126400.

The previous prime is 768959593. The next prime is 768959699. The reversal of 768959667 is 766959867.

It is not a de Polignac number, because 768959667 - 2⁷ = 768959539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (768959267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870408 + ... + 871290.

It is an arithmetic number, because the mean of its divisors is an integer number (27672736).

Almost surely, 2^768959667 is an apocalyptic number.

768959667 is a deficient number, since it is larger than the sum of its proper divisors (559331661).

768959667 is a wasteful number, since it uses less digits than its factorization.

768959667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1517 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 768959667 is about 27730.1220155988. The cubic root of 768959667 is about 916.1526743317.

The spelling of 768959667 in words is "seven hundred sixty-eight million, nine hundred fifty-nine thousand, six hundred sixty-seven".