8290782864 has 560 divisors, whose sum is σ = 30328808832. Its totient is φ = 2136471552.

The previous prime is 8290782823. The next prime is 8290782893. The reversal of 8290782864 is 4682870928.

8290782864 is a `hidden beast` number, since 8 + 290 + 78 + 286 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8290782864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77483899 + ... + 77484005.

Almost surely, 2^8290782864 is an apocalyptic number.

8290782864 is a gapful number since it is divisible by the number (84) 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 8290782864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164404416).

8290782864 is an abundant number, since it is smaller than the sum of its proper divisors (22038025968).

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

8290782864 is a wasteful number, since it uses less digits than its factorization.

8290782864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8290782864 is about 91053.7361342191. The cubic root of 8290782864 is about 2023.9441013688.

The spelling of 8290782864 in words is "eight billion, two hundred ninety million, seven hundred eighty-two thousand, eight hundred sixty-four".