842766 has 32 divisors (see below), whose sum is σ = 1824768. Its totient is φ = 258720.

The previous prime is 842759. The next prime is 842767. The reversal of 842766 is 667248.

842766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×842766³ = 1795735109601333288, which contains 333 as substring.

Its product of digits (16128) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842767) by changing a digit.

842766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4180 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (57024).

2⁸⁴²⁷⁶⁶ is an apocalyptic number.

842766 is an abundant number, since it is smaller than the sum of its proper divisors (982002).

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

842766 is a wasteful number, since it uses less digits than its factorization.

842766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its digits is 16128, while the sum is 33.

The square root of 842766 is about 918.0228755320. The cubic root of 842766 is about 94.4573307548.

It can be divided in two parts, 84 and 2766, that added together give a triangular number (2850 = T₇₅).

The spelling of 842766 in words is "eight hundred forty-two thousand, seven hundred sixty-six".