77801 has 2 divisors, whose sum is σ = 77802. Its totient is φ = 77800.

The previous prime is 77797. The next prime is 77813. The reversal of 77801 is 10877.

77801 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 10201 = 260^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 77801 - 2² = 77797 is a prime.

It is not a weakly prime, because it can be changed into another prime (77101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38900 + 38901.

It is an arithmetic number, because the mean of its divisors is an integer number (38901).

2⁷⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

77801 is a deficient number, since it is larger than the sum of its proper divisors (1).

77801 is an equidigital number, since it uses as much as digits as its factorization.

77801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 77801 is about 278.9283062007. The cubic root of 77801 is about 42.6902200141.

It can be divided in two parts, 77 and 801, that added together give a palindrome (878).

The spelling of 77801 in words is "seventy-seven thousand, eight hundred one".