76005 has 16 divisors (see below), whose sum is σ = 135360. Its totient is φ = 40464.

The previous prime is 76003. The next prime is 76031. The reversal of 76005 is 50067.

It is not a de Polignac number, because 76005 - 2¹ = 76003 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76005.

It is not an unprimeable number, because it can be changed into a prime (76001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

2⁷⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

76005 is a deficient number, since it is larger than the sum of its proper divisors (59355).

76005 is a wasteful number, since it uses less digits than its factorization.

76005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 76005 is about 275.6900433458. The cubic root of 76005 is about 42.3591647309.

The spelling of 76005 in words is "seventy-six thousand, five".