82008344507 has 16 divisors (see below), whose sum is σ = 83587689504. Its totient is φ = 80446080000.

The previous prime is 82008344317. The next prime is 82008344527. The reversal of 82008344507 is 70544380028.

It is a cyclic number.

It is not a de Polignac number, because 82008344507 - 2²² = 82004150203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82008344527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8741003 + ... + 8750379.

It is an arithmetic number, because the mean of its divisors is an integer number (5224230594).

Almost surely, 2^82008344507 is an apocalyptic number.

82008344507 is a deficient number, since it is larger than the sum of its proper divisors (1579344997).

82008344507 is a wasteful number, since it uses less digits than its factorization.

82008344507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 82008344507 in words is "eighty-two billion, eight million, three hundred forty-four thousand, five hundred seven".