8281072800 has 1152 divisors, whose sum is σ = 40317419520. Its totient is φ = 1584230400.

The previous prime is 8281072747. The next prime is 8281072871. The reversal of 8281072800 is 82701828.

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

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, 21621409 + ... + 21621791.

It is an arithmetic number, because the mean of its divisors is an integer number (34997760).

Almost surely, 2^8281072800 is an apocalyptic number.

8281072800 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 8281072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158709760).

8281072800 is an abundant number, since it is smaller than the sum of its proper divisors (32036346720).

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

8281072800 is a wasteful number, since it uses less digits than its factorization.

8281072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8281072800 is about 91000.3999991209. The cubic root of 8281072800 is about 2023.1536531333.

It can be divided in two parts, 82810 and 72800, that multiplied together give a cube (6028568000 = 1820³).

The spelling of 8281072800 in words is "eight billion, two hundred eighty-one million, seventy-two thousand, eight hundred".