8791400160 has 144 divisors (see below), whose sum is σ = 30030240240. Its totient is φ = 2342062080.

The previous prime is 8791400159. The next prime is 8791400171. The reversal of 8791400160 is 610041978.

8791400160 is a `hidden beast` number, since 8 + 7 + 91 + 400 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856676 + ... + 1861404.

It is an arithmetic number, because the mean of its divisors is an integer number (208543335).

Almost surely, 2^8791400160 is an apocalyptic number.

8791400160 is a gapful number since it is divisible by the number (80) 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 8791400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015120120).

8791400160 is an abundant number, since it is smaller than the sum of its proper divisors (21238840080).

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

8791400160 is a wasteful number, since it uses less digits than its factorization.

8791400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8791400160 is about 93762.4666911019. The cubic root of 8791400160 is about 2063.8874780915.

The spelling of 8791400160 in words is "eight billion, seven hundred ninety-one million, four hundred thousand, one hundred sixty".