768867 has 16 divisors (see below), whose sum is σ = 1168128. Its totient is φ = 445280.

The previous prime is 768857. The next prime is 768869.

768867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768867 - 2⁴ = 768851 is a prime.

It is an Ulam number.

768867 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768869) 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 in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (73008).

2⁷⁶⁸⁸⁶⁷ is an apocalyptic number.

768867 is a deficient number, since it is larger than the sum of its proper divisors (399261).

768867 is a wasteful number, since it uses less digits than its factorization.

768867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050.

The product of its digits is 112896, while the sum is 42.

The square root of 768867 is about 876.8506144150. The cubic root of 768867 is about 91.6115871131.

It can be divided in two parts, 768 and 867, that multiplied together give a square (665856 = 816²).

The spelling of 768867 in words is "seven hundred sixty-eight thousand, eight hundred sixty-seven".