7887116160 has 384 divisors, whose sum is σ = 33957480960. Its totient is φ = 1638789120.

The previous prime is 7887116147. The next prime is 7887116267. The reversal of 7887116160 is 616117887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 434629 + ... + 452411.

It is an arithmetic number, because the mean of its divisors is an integer number (88430940).

Almost surely, 2^7887116160 is an apocalyptic number.

7887116160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7887116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978740480).

7887116160 is an abundant number, since it is smaller than the sum of its proper divisors (26070364800).

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

7887116160 is a wasteful number, since it uses less digits than its factorization.

7887116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7887116160 is about 88809.4373363552. The cubic root of 7887116160 is about 1990.5484174884.

The spelling of 7887116160 in words is "seven billion, eight hundred eighty-seven million, one hundred sixteen thousand, one hundred sixty".