872766 has 12 divisors (see below), whose sum is σ = 1891032. Its totient is φ = 290916.

The previous prime is 872761. The next prime is 872789. The reversal of 872766 is 667278.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 872766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24226 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (157586).

2⁸⁷²⁷⁶⁶ is an apocalyptic number.

872766 is an abundant number, since it is smaller than the sum of its proper divisors (1018266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872766 is a wasteful number, since it uses less digits than its factorization.

872766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48495 (or 48492 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 872766 is about 934.2194602983. The cubic root of 872766 is about 95.5650899887.

The spelling of 872766 in words is "eight hundred seventy-two thousand, seven hundred sixty-six".