829800808881 has 16 divisors (see below), whose sum is σ = 1221524962560. Its totient is φ = 496850427920.

The previous prime is 829800808867. The next prime is 829800808891. The reversal of 829800808881 is 188808008928.

829800808881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829800808881 - 2¹⁸ = 829800546737 is a prime.

It is a super-2 number, since 2×829800808881² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829800808891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151476051 + ... + 151481528.

It is an arithmetic number, because the mean of its divisors is an integer number (76345310160).

Almost surely, 2^829800808881 is an apocalyptic number.

It is an amenable number.

829800808881 is a deficient number, since it is larger than the sum of its proper divisors (391724153679).

829800808881 is a wasteful number, since it uses less digits than its factorization.

829800808881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302957676.

The product of its (nonzero) digits is 4718592, while the sum is 60.

The spelling of 829800808881 in words is "eight hundred twenty-nine billion, eight hundred million, eight hundred eight thousand, eight hundred eighty-one".