8087326800 has 240 divisors, whose sum is σ = 30408684672. Its totient is φ = 1798502400.

The previous prime is 8087326783. The next prime is 8087326813. The reversal of 8087326800 is 86237808.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297790 + ... + 323810.

Almost surely, 2^8087326800 is an apocalyptic number.

8087326800 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 8087326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204342336).

8087326800 is an abundant number, since it is smaller than the sum of its proper divisors (22321357872).

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

8087326800 is a wasteful number, since it uses less digits than its factorization.

8087326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26086 (or 26075 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8087326800 is about 89929.5657723310. The cubic root of 8087326800 is about 2007.2509136901.

The spelling of 8087326800 in words is "eight billion, eighty-seven million, three hundred twenty-six thousand, eight hundred".