76006993 has 2 divisors, whose sum is σ = 76006994. Its totient is φ = 76006992.

The previous prime is 76006981. The next prime is 76007003. The reversal of 76006993 is 39960067.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74080449 + 1926544 = 8607^2 + 1388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76006993 is a prime.

76006993 is a modest number, since divided by 6993 gives 76 as remainder.

It is not a weakly prime, because it can be changed into another prime (76006963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38003496 + 38003497.

It is an arithmetic number, because the mean of its divisors is an integer number (38003497).

Almost surely, 2^76006993 is an apocalyptic number.

It is an amenable number.

76006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

76006993 is an equidigital number, since it uses as much as digits as its factorization.

76006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 76006993 is about 8718.1989539124. The cubic root of 76006993 is about 423.5953497438.

The spelling of 76006993 in words is "seventy-six million, six thousand, nine hundred ninety-three".