77329 has 4 divisors (see below), whose sum is σ = 88384. Its totient is φ = 66276.

The previous prime is 77323. The next prime is 77339. The reversal of 77329 is 92377.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 77329 - 2⁷ = 77201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77297 and 77306.

It is not an unprimeable number, because it can be changed into a prime (77323) 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, 5517 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (22096).

2⁷⁷³²⁹ is an apocalyptic number.

It is an amenable number.

77329 is a deficient number, since it is larger than the sum of its proper divisors (11055).

77329 is a wasteful number, since it uses less digits than its factorization.

77329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054.

The product of its digits is 2646, while the sum is 28.

The square root of 77329 is about 278.0809234737. The cubic root of 77329 is about 42.6037144006.

It can be divided in two parts, 77 and 329, that added together give a triangular number (406 = T₂₈).

The spelling of 77329 in words is "seventy-seven thousand, three hundred twenty-nine".