76800173 has 2 divisors, whose sum is σ = 76800174. Its totient is φ = 76800172.

The previous prime is 76800131. The next prime is 76800179. The reversal of 76800173 is 37100867.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75724804 + 1075369 = 8702^2 + 1037^2 .

It is an emirp because it is prime and its reverse (37100867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76800173 - 2¹⁴ = 76783789 is a prime.

It is a super-3 number, since 3×76800173³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76800179) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38400086 + 38400087.

It is an arithmetic number, because the mean of its divisors is an integer number (38400087).

Almost surely, 2^76800173 is an apocalyptic number.

It is an amenable number.

76800173 is a deficient number, since it is larger than the sum of its proper divisors (1).

76800173 is an equidigital number, since it uses as much as digits as its factorization.

76800173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 76800173 is about 8763.5707904940. The cubic root of 76800173 is about 425.0637468394.

The spelling of 76800173 in words is "seventy-six million, eight hundred thousand, one hundred seventy-three".