76800001 has 2 divisors, whose sum is σ = 76800002. Its totient is φ = 76800000.

The previous prime is 76799971. The next prime is 76800007. The reversal of 76800001 is 10000867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69639025 + 7160976 = 8345^2 + 2676^2 .

It is an emirp because it is prime and its reverse (10000867) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76800001 is a prime.

It is not a weakly prime, because it can be changed into another prime (76800007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38400000 + 38400001.

It is an arithmetic number, because the mean of its divisors is an integer number (38400001).

Almost surely, 2^76800001 is an apocalyptic number.

It is an amenable number.

76800001 is a deficient number, since it is larger than the sum of its proper divisors (1).

76800001 is an equidigital number, since it uses as much as digits as its factorization.

76800001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 76800001 is about 8763.5609771371. The cubic root of 76800001 is about 425.0634295179.

Adding to 76800001 its reverse (10000867), we get a palindrome (86800868).

The spelling of 76800001 in words is "seventy-six million, eight hundred thousand, one".