76314 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 20592.

The previous prime is 76303. The next prime is 76333. The reversal of 76314 is 41367.

It is a super-3 number, since 3×76314³ = 1333318508541432, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

76314 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 15 ways as a sum of consecutive naturals, for example, 927 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁷⁶³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

76314 is an abundant number, since it is smaller than the sum of its proper divisors (108006).

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

76314 is a wasteful number, since it uses less digits than its factorization.

76314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 504, while the sum is 21.

The square root of 76314 is about 276.2498868778. The cubic root of 76314 is about 42.4164911524.

It can be divided in two parts, 763 and 14, that added together give a palindrome (777).

The spelling of 76314 in words is "seventy-six thousand, three hundred fourteen".