8387161200 has 600 divisors, whose sum is σ = 33304738896. Its totient is φ = 2004480000.

The previous prime is 8387161183. The next prime is 8387161207. The reversal of 8387161200 is 21617838.

8387161200 is a `hidden beast` number, since 8 + 38 + 7 + 1 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8387161207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35996284 + ... + 35996516.

Almost surely, 2^8387161200 is an apocalyptic number.

8387161200 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 8387161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652369448).

8387161200 is an abundant number, since it is smaller than the sum of its proper divisors (24917577696).

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

8387161200 is a wasteful number, since it uses less digits than its factorization.

8387161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8387161200 is about 91581.4457190975. The cubic root of 8387161200 is about 2031.7565260496.

The spelling of 8387161200 in words is "eight billion, three hundred eighty-seven million, one hundred sixty-one thousand, two hundred".