82782798336 has 720 divisors, whose sum is σ = 296813252736. Its totient is φ = 22950273024.

The previous prime is 82782798313. The next prime is 82782798349. The reversal of 82782798336 is 63389728728.

82782798336 is a `hidden beast` number, since 8 + 27 + 8 + 279 + 8 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225566025 + ... + 225566391.

Almost surely, 2^82782798336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82782798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148406626368).

82782798336 is an abundant number, since it is smaller than the sum of its proper divisors (214030454400).

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

82782798336 is an equidigital number, since it uses as much as digits as its factorization.

82782798336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 416 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 82782798336 in words is "eighty-two billion, seven hundred eighty-two million, seven hundred ninety-eight thousand, three hundred thirty-six".