76323 has 16 divisors (see below), whose sum is σ = 116480. Its totient is φ = 44064.

The previous prime is 76303. The next prime is 76333. The reversal of 76323 is 32367.

It is not a de Polignac number, because 76323 - 2⁶ = 76259 is a prime.

It is a super-3 number, since 3×76323³ = 1333790294130801, which contains 333 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 7⁵ + 6³ + 3⁵ + 2³ + 3¹⁰ .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76323.

It is not an unprimeable number, because it can be changed into a prime (76303) 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 15 ways as a sum of consecutive naturals, for example, 690 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁷⁶³²³ is an apocalyptic number.

76323 is a deficient number, since it is larger than the sum of its proper divisors (40157).

76323 is a wasteful number, since it uses less digits than its factorization.

76323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 756, while the sum is 21.

The square root of 76323 is about 276.2661759970. The cubic root of 76323 is about 42.4181585329.

Subtracting from 76323 its reverse (32367), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 76323 in words is "seventy-six thousand, three hundred twenty-three".