77806541 has 2 divisors, whose sum is σ = 77806542. Its totient is φ = 77806540.

The previous prime is 77806517. The next prime is 77806543. The reversal of 77806541 is 14560877.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60124516 + 17682025 = 7754^2 + 4205^2 .

It is a cyclic number.

It is not a de Polignac number, because 77806541 - 2¹⁴ = 77790157 is a prime.

Together with 77806543, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4548890 and since 77806541 and 4548890 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 77806495 and 77806504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77806543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38903270 + 38903271.

It is an arithmetic number, because the mean of its divisors is an integer number (38903271).

Almost surely, 2^77806541 is an apocalyptic number.

It is an amenable number.

77806541 is a deficient number, since it is larger than the sum of its proper divisors (1).

77806541 is an equidigital number, since it uses as much as digits as its factorization.

77806541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 77806541 is about 8820.8016075638. The cubic root of 77806541 is about 426.9123345818.

The spelling of 77806541 in words is "seventy-seven million, eight hundred six thousand, five hundred forty-one".