7729028292769 has 15 divisors (see below), whose sum is σ = 9016822083507. Its totient is φ = 6624764629056.

The previous prime is 7729028292761. The next prime is 7729028292803. The reversal of 7729028292769 is 9672928209277.

The square root of 7729028292769 is 2780113.

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

It can be written as a sum of positive squares in only one way, i.e., 4567346008225 + 3161682284544 = 2137135^2 + 1778112^2 .

It is not a de Polignac number, because 7729028292769 - 2³ = 7729028292761 is a prime.

It is a super-2 number, since 2×7729028292769² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7729028292698 and 7729028292707.

It is not an unprimeable number, because it can be changed into a prime (7729028292761) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 136197169 + ... + 136253905.

Almost surely, 2^{7729028292769} is an apocalyptic number.

7729028292769 is the 2780113-rd square number.

7729028292769 is the 1390057-th centered octagonal number.

It is an amenable number.

7729028292769 is a deficient number, since it is larger than the sum of its proper divisors (1287793790738).

7729028292769 is an frugal number, since it uses more digits than its factorization.

7729028292769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113502 (or 56744 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 70.

The spelling of 7729028292769 in words is "seven trillion, seven hundred twenty-nine billion, twenty-eight million, two hundred ninety-two thousand, seven hundred sixty-nine".