7870107008 has 64 divisors (see below), whose sum is σ = 15804875520. Its totient is φ = 3903552000.

The previous prime is 7870107001. The next prime is 7870107017. The reversal of 7870107008 is 8007010787.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7870107001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15646085 + ... + 15646587.

It is an arithmetic number, because the mean of its divisors is an integer number (246951180).

Almost surely, 2^7870107008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7870107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902437760).

7870107008 is an abundant number, since it is smaller than the sum of its proper divisors (7934768512).

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

7870107008 is a wasteful number, since it uses less digits than its factorization.

7870107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 38.

The square root of 7870107008 is about 88713.6235760889. The cubic root of 7870107008 is about 1989.1164657721.

The spelling of 7870107008 in words is "seven billion, eight hundred seventy million, one hundred seven thousand, eight".