77800013 has 2 divisors, whose sum is σ = 77800014. Its totient is φ = 77800012.

The previous prime is 77799991. The next prime is 77800039. The reversal of 77800013 is 31000877.

It is an a-pointer prime, because the next prime (77800039) can be obtained adding 77800013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77668969 + 131044 = 8813^2 + 362^2 .

It is a cyclic number.

It is not a de Polignac number, because 77800013 - 2¹⁰ = 77798989 is a prime.

It is a super-3 number, since 3×77800013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77800213) 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, 38900006 + 38900007.

It is an arithmetic number, because the mean of its divisors is an integer number (38900007).

Almost surely, 2^77800013 is an apocalyptic number.

It is an amenable number.

77800013 is a deficient number, since it is larger than the sum of its proper divisors (1).

77800013 is an equidigital number, since it uses as much as digits as its factorization.

77800013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 77800013 is about 8820.4315654054. The cubic root of 77800013 is about 426.9003948758.

The spelling of 77800013 in words is "seventy-seven million, eight hundred thousand, thirteen".