76344 has 16 divisors (see below), whose sum is σ = 190920. Its totient is φ = 25440.

The previous prime is 76343. The next prime is 76367. The reversal of 76344 is 44367.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3181 = 76344 / (7 + 6 + 3 + 4 + 4).

It is a d-powerful number, because it can be written as 7⁵ + 6³ + 3¹⁰ + 4² + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76343) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1567 + ... + 1614.

2⁷⁶³⁴⁴ is an apocalyptic number.

It is an amenable number.

76344 is an abundant number, since it is smaller than the sum of its proper divisors (114576).

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 (95460).

76344 is a wasteful number, since it uses less digits than its factorization.

76344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3186 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 76344 is about 276.3041802072. The cubic root of 76344 is about 42.4220485775.

The spelling of 76344 in words is "seventy-six thousand, three hundred forty-four".