727638077 has 2 divisors, whose sum is σ = 727638078. Its totient is φ = 727638076.

The previous prime is 727638071. The next prime is 727638089. The reversal of 727638077 is 770836727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 608806276 + 118831801 = 24674^2 + 10901^2 .

It is a cyclic number.

It is not a de Polignac number, because 727638077 - 2¹⁴ = 727621693 is a prime.

It is a super-2 number, since 2×727638077² = 1058914342200515858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727638071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363819038 + 363819039.

It is an arithmetic number, because the mean of its divisors is an integer number (363819039).

Almost surely, 2^727638077 is an apocalyptic number.

It is an amenable number.

727638077 is a deficient number, since it is larger than the sum of its proper divisors (1).

727638077 is an equidigital number, since it uses as much as digits as its factorization.

727638077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 47.

The square root of 727638077 is about 26974.7674132698. The cubic root of 727638077 is about 899.4391884776.

The spelling of 727638077 in words is "seven hundred twenty-seven million, six hundred thirty-eight thousand, seventy-seven".