77730127 has 2 divisors, whose sum is σ = 77730128. Its totient is φ = 77730126.

The previous prime is 77730097. The next prime is 77730131. The reversal of 77730127 is 72103777.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 77730127 - 2¹⁹ = 77205839 is a prime.

It is a super-2 number, since 2×77730127² = 12083945286872258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77730092 and 77730101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77730167) 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, 38865063 + 38865064.

It is an arithmetic number, because the mean of its divisors is an integer number (38865064).

Almost surely, 2^77730127 is an apocalyptic number.

77730127 is a deficient number, since it is larger than the sum of its proper divisors (1).

77730127 is an equidigital number, since it uses as much as digits as its factorization.

77730127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14406, while the sum is 34.

The square root of 77730127 is about 8816.4690778111. The cubic root of 77730127 is about 426.7725315783.

The spelling of 77730127 in words is "seventy-seven million, seven hundred thirty thousand, one hundred twenty-seven".