77334 has 8 divisors (see below), whose sum is σ = 154680. Its totient is φ = 25776.

The previous prime is 77323. The next prime is 77339. The reversal of 77334 is 43377.

It is a sphenic number, since it is the product of 3 distinct primes.

77334 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77339) by changing a digit.

77334 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, 6439 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (19335).

2⁷⁷³³⁴ is an apocalyptic number.

77334 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 (77340).

77334 is a wasteful number, since it uses less digits than its factorization.

77334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12894.

The product of its digits is 1764, while the sum is 24.

The square root of 77334 is about 278.0899135172. The cubic root of 77334 is about 42.6046326157.

The spelling of 77334 in words is "seventy-seven thousand, three hundred thirty-four".