7856082000 has 960 divisors, whose sum is σ = 33017886720. Its totient is φ = 1772928000.

The previous prime is 7856081999. The next prime is 7856082011. The reversal of 7856082000 is 2806587.

7856082000 is a `hidden beast` number, since 78 + 560 + 8 + 20 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253421985 + ... + 253422015.

It is an arithmetic number, because the mean of its divisors is an integer number (34393632).

Almost surely, 2^7856082000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7856082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508943360).

7856082000 is an abundant number, since it is smaller than the sum of its proper divisors (25161804720).

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

7856082000 is a wasteful number, since it uses less digits than its factorization.

7856082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7856082000 is about 88634.5417994587. The cubic root of 7856082000 is about 1987.9341878036.

Adding to 7856082000 its reverse (2806587), we get a palindrome (7858888587).

The spelling of 7856082000 in words is "seven billion, eight hundred fifty-six million, eighty-two thousand".