76801 has 2 divisors, whose sum is σ = 76802. Its totient is φ = 76800.

The previous prime is 76781. The next prime is 76819. The reversal of 76801 is 10867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 625 = 276^2 + 25^2 .

It is an emirp because it is prime and its reverse (10867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76801 - 2⁷ = 76673 is a prime.

It is a Chen prime.

76801 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (76831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38400 + 38401.

It is an arithmetic number, because the mean of its divisors is an integer number (38401).

It is a Proth number, since it is equal to 75 ⋅ 2¹⁰ + 1 and 75 < 2¹⁰.

2⁷⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

76801 is a deficient number, since it is larger than the sum of its proper divisors (1).

76801 is an equidigital number, since it uses as much as digits as its factorization.

76801 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 76801 is about 277.1299334247. The cubic root of 76801 is about 42.5065272558.

The spelling of 76801 in words is "seventy-six thousand, eight hundred one".