77412 has 12 divisors (see below), whose sum is σ = 180656. Its totient is φ = 25800.

The previous prime is 77383. The next prime is 77417. The reversal of 77412 is 21477.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77417) by changing a digit.

77412 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, 3214 + ... + 3237.

2⁷⁷⁴¹² is an apocalyptic number.

It is an amenable number.

77412 is an abundant number, since it is smaller than the sum of its proper divisors (103244).

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 (90328).

77412 is a wasteful number, since it uses less digits than its factorization.

77412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6456 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 77412 is about 278.2301205837. The cubic root of 77412 is about 42.6189516505.

Adding to 77412 its reverse (21477), we get a palindrome (98889).

The spelling of 77412 in words is "seventy-seven thousand, four hundred twelve", and thus it is an iban number.