800772629881 has 9 divisors (see below), whose sum is σ = 931518305199. Its totient is φ = 686371170744.

The previous prime is 800772629861. The next prime is 800772629893. The reversal of 800772629881 is 188926277008.

The square root of 800772629881 is 894859.

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., 235695685225 + 565076944656 = 485485^2 + 751716^2 .

It is not a de Polignac number, because 800772629881 - 2⁹ = 800772629369 is a prime.

It is a super-2 number, since 2×800772629881² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800772629801) 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, 6200095 + ... + 6327931.

It is an arithmetic number, because the mean of its divisors is an integer number (103502033911).

Almost surely, 2^800772629881 is an apocalyptic number.

800772629881 is the 894859-th square number.

800772629881 is the 447430-th centered octagonal number.

It is an amenable number.

800772629881 is a deficient number, since it is larger than the sum of its proper divisors (130745675318).

800772629881 is an frugal number, since it uses more digits than its factorization.

800772629881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255688 (or 127844 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 800772629881 in words is "eight hundred billion, seven hundred seventy-two million, six hundred twenty-nine thousand, eight hundred eighty-one".