76007 has 6 divisors (see below), whose sum is σ = 81048. Its totient is φ = 71264.

The previous prime is 76003. The next prime is 76031. The reversal of 76007 is 70067.

It is not a de Polignac number, because 76007 - 2² = 76003 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76007.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 158 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (13508).

2⁷⁶⁰⁰⁷ is an apocalyptic number.

76007 is a deficient number, since it is larger than the sum of its proper divisors (5041).

76007 is a wasteful number, since it uses less digits than its factorization.

76007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 76007 is about 275.6936705839. The cubic root of 76007 is about 42.3595362748.

The spelling of 76007 in words is "seventy-six thousand, seven".