788052124729 has 27 divisors (see below), whose sum is σ = 849150377901. Its totient is φ = 731199680640.

The previous prime is 788052124709. The next prime is 788052124733. The reversal of 788052124729 is 927421250887.

The square root of 788052124729 is 887723.

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

It can be written as a sum of positive squares in 4 ways, for example, as 258434973225 + 529617151504 = 508365^2 + 727748^2 .

It is not a de Polignac number, because 788052124729 - 2⁹ = 788052124217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 788052124729.

It is not an unprimeable number, because it can be changed into a prime (788052124709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1192211659 + ... + 1192212319.

Almost surely, 2^788052124729 is an apocalyptic number.

788052124729 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

788052124729 is the 887723-rd square number.

788052124729 is the 443862-nd centered octagonal number.

It is an amenable number.

788052124729 is a deficient number, since it is larger than the sum of its proper divisors (61098253172).

788052124729 is an frugal number, since it uses more digits than its factorization.

788052124729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 788052124729 in words is "seven hundred eighty-eight billion, fifty-two million, one hundred twenty-four thousand, seven hundred twenty-nine".