77605919 has 2 divisors, whose sum is σ = 77605920. Its totient is φ = 77605918.

The previous prime is 77605859. The next prime is 77605921. The reversal of 77605919 is 91950677.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 77605919 - 2²⁰ = 76557343 is a prime.

It is a super-2 number, since 2×77605919² = 12045357327669122, which contains 22 as substring.

Together with 77605921, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77605919.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77605219) 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, 38802959 + 38802960.

It is an arithmetic number, because the mean of its divisors is an integer number (38802960).

Almost surely, 2^77605919 is an apocalyptic number.

77605919 is a deficient number, since it is larger than the sum of its proper divisors (1).

77605919 is an equidigital number, since it uses as much as digits as its factorization.

77605919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 119070, while the sum is 44.

The square root of 77605919 is about 8809.4221717432. The cubic root of 77605919 is about 426.5450915686.

The spelling of 77605919 in words is "seventy-seven million, six hundred five thousand, nine hundred nineteen".