7870556160 has 288 divisors, whose sum is σ = 28297170720. Its totient is φ = 2098151424.

The previous prime is 7870556149. The next prime is 7870556191. The reversal of 7870556160 is 616550787.

7870556160 is a `hidden beast` number, since 7 + 87 + 0 + 5 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2486739 + ... + 2489901.

It is an arithmetic number, because the mean of its divisors is an integer number (98254065).

Almost surely, 2^7870556160 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 7870556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148585360).

7870556160 is an abundant number, since it is smaller than the sum of its proper divisors (20426614560).

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

7870556160 is an equidigital number, since it uses as much as digits as its factorization.

7870556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 7870556160 is about 88716.1550113619. The cubic root of 7870556160 is about 1989.1543050985.

The spelling of 7870556160 in words is "seven billion, eight hundred seventy million, five hundred fifty-six thousand, one hundred sixty".