766887 has 16 divisors (see below), whose sum is σ = 1181952. Its totient is φ = 437120.

The previous prime is 766877. The next prime is 766891. The reversal of 766887 is 788667.

It is a cyclic number.

It is not a de Polignac number, because 766887 - 2¹¹ = 764839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766807) 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, 123 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (73872).

2⁷⁶⁶⁸⁸⁷ is an apocalyptic number.

766887 is a deficient number, since it is larger than the sum of its proper divisors (415065).

766887 is a wasteful number, since it uses less digits than its factorization.

766887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398.

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

The square root of 766887 is about 875.7208459321. The cubic root of 766887 is about 91.5328795808.

It can be divided in two parts, 766 and 887, that added together give a triangular number (1653 = T₅₇).

The spelling of 766887 in words is "seven hundred sixty-six thousand, eight hundred eighty-seven".