82795684320 has 144 divisors (see below), whose sum is σ = 284102163072. Its totient is φ = 21956797440.

The previous prime is 82795684291. The next prime is 82795684373. The reversal of 82795684320 is 2348659728.

82795684320 is a `hidden beast` number, since 8 + 2 + 79 + 568 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101809 + ... + 419471.

It is an arithmetic number, because the mean of its divisors is an integer number (1972931688).

Almost surely, 2^82795684320 is an apocalyptic number.

82795684320 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 82795684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142051081536).

82795684320 is an abundant number, since it is smaller than the sum of its proper divisors (201306478752).

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

82795684320 is a wasteful number, since it uses less digits than its factorization.

82795684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317865 (or 317854 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82795684320 in words is "eighty-two billion, seven hundred ninety-five million, six hundred eighty-four thousand, three hundred twenty".