76468001 has 2 divisors, whose sum is σ = 76468002. Its totient is φ = 76468000.

The previous prime is 76467977. The next prime is 76468003. The reversal of 76468001 is 10086467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63218401 + 13249600 = 7951^2 + 3640^2 .

It is a cyclic number.

It is not a de Polignac number, because 76468001 - 2²² = 72273697 is a prime.

Together with 76468003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (76468003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38234000 + 38234001.

It is an arithmetic number, because the mean of its divisors is an integer number (38234001).

Almost surely, 2^76468001 is an apocalyptic number.

It is an amenable number.

76468001 is a deficient number, since it is larger than the sum of its proper divisors (1).

76468001 is an equidigital number, since it uses as much as digits as its factorization.

76468001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 76468001 is about 8744.5983898633. The cubic root of 76468001 is about 424.4500402034.

The spelling of 76468001 in words is "seventy-six million, four hundred sixty-eight thousand, one".