76004 has 6 divisors (see below), whose sum is σ = 133014. Its totient is φ = 38000.

The previous prime is 76003. The next prime is 76031. The reversal of 76004 is 40067.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 23104 = 230^2 + 152^2 .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76004.

It is not an unprimeable number, because it can be changed into a prime (76001) 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 as a sum of consecutive naturals, namely, 9497 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (22169).

2⁷⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

76004 is a deficient number, since it is larger than the sum of its proper divisors (57010).

76004 is a wasteful number, since it uses less digits than its factorization.

76004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19005 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 76004 is about 275.6882297089. The cubic root of 76004 is about 42.3589789565.

Subtracting from 76004 its reverse (40067), we obtain a cube (35937 = 33³).

The spelling of 76004 in words is "seventy-six thousand, four".