82796575680 has 1792 divisors, whose sum is σ = 384525926400. Its totient is φ = 16303472640.

The previous prime is 82796575639. The next prime is 82796575681. The reversal of 82796575680 is 8657569728.

82796575680 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 65 + 7 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82796575681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1048057881 + ... + 1048057959.

It is an arithmetic number, because the mean of its divisors is an integer number (214579200).

Almost surely, 2^82796575680 is an apocalyptic number.

82796575680 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 82796575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192262963200).

82796575680 is an abundant number, since it is smaller than the sum of its proper divisors (301729350720).

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

82796575680 is a wasteful number, since it uses less digits than its factorization.

82796575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 82796575680 in words is "eighty-two billion, seven hundred ninety-six million, five hundred seventy-five thousand, six hundred eighty".