7873117128 has 36 divisors (see below), whose sum is σ = 21325064865. Its totient is φ = 2624121408.

The previous prime is 7873117099. The next prime is 7873117141. The reversal of 7873117128 is 8217113787.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6250799844 + 1622317284 = 79062^2 + 40278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62742.

It is a super-2 number, since 2×7873117128² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 747676 + ... + 758132.

Almost surely, 2^7873117128 is an apocalyptic number.

It is an amenable number.

7873117128 is an abundant number, since it is smaller than the sum of its proper divisors (13451947737).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7873117128 is an equidigital number, since it uses as much as digits as its factorization.

7873117128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20926 (or 10462 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The square root of 7873117128 is about 88730.5873304127. The cubic root of 7873117128 is about 1989.3700292903.

It can be divided in two parts, 78731 and 17128, that added together give a palindrome (95859).

The spelling of 7873117128 in words is "seven billion, eight hundred seventy-three million, one hundred seventeen thousand, one hundred twenty-eight".