8286824880 has 480 divisors, whose sum is σ = 30471674688. Its totient is φ = 2090188800.

The previous prime is 8286824837. The next prime is 8286824969. The reversal of 8286824880 is 884286828.

8286824880 is a `hidden beast` number, since 8 + 2 + 86 + 82 + 488 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29490340 + ... + 29490620.

Almost surely, 2^8286824880 is an apocalyptic number.

8286824880 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 8286824880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235837344).

8286824880 is an abundant number, since it is smaller than the sum of its proper divisors (22184849808).

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

8286824880 is a wasteful number, since it uses less digits than its factorization.

8286824880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The square root of 8286824880 is about 91031.9992090693. Note that the first 3 decimals coincide. The cubic root of 8286824880 is about 2023.6219760399.

The spelling of 8286824880 in words is "eight billion, two hundred eighty-six million, eight hundred twenty-four thousand, eight hundred eighty".