82307824704 has 336 divisors, whose sum is σ = 283467137408. Its totient is φ = 23192137728.

The previous prime is 82307824693. The next prime is 82307824717. The reversal of 82307824704 is 40742870328.

82307824704 is a `hidden beast` number, since 82 + 30 + 78 + 2 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 82307824704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7941894 + ... + 7952250.

Almost surely, 2^82307824704 is an apocalyptic number.

82307824704 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 82307824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141733568704).

82307824704 is an abundant number, since it is smaller than the sum of its proper divisors (201159312704).

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

82307824704 is a wasteful number, since it uses less digits than its factorization.

82307824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10442 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 82307824704 in words is "eighty-two billion, three hundred seven million, eight hundred twenty-four thousand, seven hundred four".