761166 has 36 divisors (see below), whose sum is σ = 1920672. Its totient is φ = 217224.

The previous prime is 761161. The next prime is 761177. The reversal of 761166 is 661167.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (53352).

2⁷⁶¹¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960336).

761166 is an abundant number, since it is smaller than the sum of its proper divisors (1159506).

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

761166 is a wasteful number, since it uses less digits than its factorization.

761166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 761166 is about 872.4482792693. The cubic root of 761166 is about 91.3046985494.

Subtracting from 761166 its reverse (661167), we obtain a palindrome (99999).

The spelling of 761166 in words is "seven hundred sixty-one thousand, one hundred sixty-six".