7856352000 has 720 divisors, whose sum is σ = 33489648192. Its totient is φ = 1791590400.

The previous prime is 7856351999. The next prime is 7856352061. The reversal of 7856352000 is 2536587.

7856352000 is a `hidden beast` number, since 78 + 5 + 63 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 18143784 + ... + 18144216.

Almost surely, 2^7856352000 is an apocalyptic number.

7856352000 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 7856352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744824096).

7856352000 is an abundant number, since it is smaller than the sum of its proper divisors (25633296192).

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

7856352000 is an equidigital number, since it uses as much as digits as its factorization.

7856352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7856352000 is about 88636.0648946015. The cubic root of 7856352000 is about 1987.9569615001.

Adding to 7856352000 its reverse (2536587), we get a palindrome (7858888587).

The spelling of 7856352000 in words is "seven billion, eight hundred fifty-six million, three hundred fifty-two thousand".