76609 has 8 divisors (see below), whose sum is σ = 84672. Its totient is φ = 68880.

The previous prime is 76607. The next prime is 76631. The reversal of 76609 is 90667.

76609 = T₁₀₂ + T₁₀₃ + ... + T₁₁₄.

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

It is a cyclic number.

It is not a de Polignac number, because 76609 - 2¹ = 76607 is a prime.

It is a Duffinian number.

76609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (76603) 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 7 ways as a sum of consecutive naturals, for example, 882 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁷⁶⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

76609 is a deficient number, since it is larger than the sum of its proper divisors (8063).

76609 is a wasteful number, since it uses less digits than its factorization.

76609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 76609 is about 276.7833087453. The cubic root of 76609 is about 42.4710760523.

The spelling of 76609 in words is "seventy-six thousand, six hundred nine".