76501734561729 has 9 divisors (see below), whose sum is σ = 110502543379683. Its totient is φ = 51001138881432.

The previous prime is 76501734561683. The next prime is 76501734561793. The reversal of 76501734561729 is 92716543710567.

The square root of 76501734561729 is 8746527.

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

76501734561729 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 1 + 7 + 3 + 4 + 5 + 617 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19012887582129 + 57488846979600 = 4360377^2 + 7582140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76501734561729 - 2⁴³ = 67705641539521 is a prime.

It is a super-2 number, since 2×76501734561729² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76501734511729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24781827 + ... + 27697335.

Almost surely, 2^{76501734561729} is an apocalyptic number.

76501734561729 is the 8746527-th square number.

76501734561729 is the 4373264-th centered octagonal number.

It is an amenable number.

76501734561729 is a deficient number, since it is larger than the sum of its proper divisors (34000808817954).

76501734561729 is an frugal number, since it uses more digits than its factorization.

76501734561729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831024 (or 2915512 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 76501734561729 in words is "seventy-six trillion, five hundred one billion, seven hundred thirty-four million, five hundred sixty-one thousand, seven hundred twenty-nine".