879530735889 has 81 divisors (see below), whose sum is σ = 1393700235057. Its totient is φ = 534249698112.

The previous prime is 879530735879. The next prime is 879530735899. The reversal of 879530735889 is 988537035978.

The square root of 879530735889 is 937833.

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

879530735889 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 30 + 7 + 3 + 588 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (879530735879) and next prime (879530735899).

It can be written as a sum of positive squares in 4 ways, for example, as 7025289489 + 872505446400 = 83817^2 + 934080^2 .

It is not a de Polignac number, because 879530735889 - 2¹³ = 879530727697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (879530735869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5083992607 + ... + 5083992779.

Almost surely, 2^879530735889 is an apocalyptic number.

879530735889 is the 937833-rd square number.

879530735889 is the 468917-th centered octagonal number.

It is an amenable number.

879530735889 is a deficient number, since it is larger than the sum of its proper divisors (514169499168).

879530735889 is a wasteful number, since it uses less digits than its factorization.

879530735889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 879530735889 in words is "eight hundred seventy-nine billion, five hundred thirty million, seven hundred thirty-five thousand, eight hundred eighty-nine".