77269321348209 has 27 divisors (see below), whose sum is σ = 113208115140939. Its totient is φ = 50786116723440.

The previous prime is 77269321348207. The next prime is 77269321348213. The reversal of 77269321348209 is 90284312396277.

The square root of 77269321348209 is 8790297.

It is a perfect power (a square), and thus also a powerful number.

77269321348209 is a `hidden beast` number, since 7 + 7 + 2 + 69 + 3 + 21 + 348 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 631552858209 + 76637768490000 = 794703^2 + 8754300^2 .

It is not a de Polignac number, because 77269321348209 - 2¹ = 77269321348207 is a prime.

It is a super-2 number, since 2×77269321348209² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77269321348207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1872312627 + ... + 1872353895.

Almost surely, 2^{77269321348209} is an apocalyptic number.

77269321348209 is the 8790297-th square number.

77269321348209 is the 4395149-th centered octagonal number.

It is an amenable number.

77269321348209 is a deficient number, since it is larger than the sum of its proper divisors (35938793792730).

77269321348209 is an frugal number, since it uses more digits than its factorization.

77269321348209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82686 (or 41343 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 77269321348209 in words is "seventy-seven trillion, two hundred sixty-nine billion, three hundred twenty-one million, three hundred forty-eight thousand, two hundred nine".