8297856000 has 880 divisors, whose sum is σ = 35777957280. Its totient is φ = 1896652800.

The previous prime is 8297855989. The next prime is 8297856001. The reversal of 8297856000 is 6587928.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8297856000 is a `hidden beast` number, since 82 + 9 + 7 + 8 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8297856001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1185407997 + ... + 1185408003.

Almost surely, 2^8297856000 is an apocalyptic number.

8297856000 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 8297856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888978640).

8297856000 is an abundant number, since it is smaller than the sum of its proper divisors (27480101280).

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

8297856000 is an frugal number, since it uses more digits than its factorization.

8297856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8297856000 is about 91092.5683027984. The cubic root of 8297856000 is about 2024.5195019072.

The spelling of 8297856000 in words is "eight billion, two hundred ninety-seven million, eight hundred fifty-six thousand".