8087385600 has 480 divisors, whose sum is σ = 33935447040. Its totient is φ = 1847992320.

The previous prime is 8087385599. The next prime is 8087385637. The reversal of 8087385600 is 65837808.

8087385600 is a `hidden beast` number, since 8 + 0 + 8 + 7 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417529 + ... + 2420871.

It is an arithmetic number, because the mean of its divisors is an integer number (70698848).

Almost surely, 2^8087385600 is an apocalyptic number.

8087385600 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 8087385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967723520).

8087385600 is an abundant number, since it is smaller than the sum of its proper divisors (25848061440).

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

8087385600 is a wasteful number, since it uses less digits than its factorization.

8087385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8087385600 is about 89929.8926942538. The cubic root of 8087385600 is about 2007.2557783412.

The spelling of 8087385600 in words is "eight billion, eighty-seven million, three hundred eighty-five thousand, six hundred".