8004007 has 8 divisors (see below), whose sum is σ = 8897040. Its totient is φ = 7138560.

The previous prime is 8003987. The next prime is 8004011. The reversal of 8004007 is 7004008.

It is a happy number.

8004007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8004007 - 2¹⁵ = 7971239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6282 + ... + 7447.

It is an arithmetic number, because the mean of its divisors is an integer number (1112130).

Almost surely, 2^8004007 is an apocalyptic number.

8004007 is a deficient number, since it is larger than the sum of its proper divisors (893033).

8004007 is a wasteful number, since it uses less digits than its factorization.

8004007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8004007 is about 2829.1353802885. The cubic root of 8004007 is about 200.0333860932.

Subtracting from 8004007 its reverse (7004008), we obtain a palindrome (999999).

The spelling of 8004007 in words is "eight million, four thousand, seven".