76912 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 31680.

The previous prime is 76907. The next prime is 76913. The reversal of 76912 is 21967.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76913) by changing a digit.

76912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3333 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁷⁶⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

76912 is an abundant number, since it is smaller than the sum of its proper divisors (101648).

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

76912 is a wasteful number, since it uses less digits than its factorization.

76912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 76912 is about 277.3301281866. The cubic root of 76912 is about 42.5269955365.

Subtracting from 76912 its reverse (21967), we obtain a palindrome (54945).

It can be divided in two parts, 7 and 6912, that multiplied together give a palindrome (48384).

The spelling of 76912 in words is "seventy-six thousand, nine hundred twelve".