761112 has 72 divisors (see below), whose sum is σ = 2323620. Its totient is φ = 223200.

The previous prime is 761087. The next prime is 761113. The reversal of 761112 is 211167.

761112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761113) by changing a digit.

761112 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 17 ways as a sum of consecutive naturals, for example, 24537 + ... + 24567.

2⁷⁶¹¹¹² is an apocalyptic number.

761112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161810).

761112 is an abundant number, since it is smaller than the sum of its proper divisors (1562508).

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

761112 is a wasteful number, since it uses less digits than its factorization.

761112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 761112 is about 872.4173313272. The cubic root of 761112 is about 91.3025393312.

Adding to 761112 its reverse (211167), we get a palindrome (972279).

Subtracting from 761112 its reverse (211167), we obtain a palindrome (549945).

The spelling of 761112 in words is "seven hundred sixty-one thousand, one hundred twelve".