76412 has 12 divisors (see below), whose sum is σ = 152880. Its totient is φ = 32736.

The previous prime is 76403. The next prime is 76421. The reversal of 76412 is 21467.

It is an interprime number because it is at equal distance from previous prime (76403) and next prime (76421).

76412 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76412.

It is an unprimeable number.

76412 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 3 ways as a sum of consecutive naturals, for example, 1337 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2⁷⁶⁴¹² is an apocalyptic number.

It is an amenable number.

76412 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

76412 is a wasteful number, since it uses less digits than its factorization.

76412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 76412 is about 276.4272056076. The cubic root of 76412 is about 42.4346400200.

Adding to 76412 its reverse (21467), we get a palindrome (97879).

Subtracting from 76412 its reverse (21467), we obtain a palindrome (54945).

The spelling of 76412 in words is "seventy-six thousand, four hundred twelve".