82075656600 has 1728 divisors, whose sum is σ = 371137852800. Its totient is φ = 16094453760.

The previous prime is 82075656541. The next prime is 82075656601. The reversal of 82075656600 is 665657028.

82075656600 is a `hidden beast` number, since 8 + 20 + 7 + 565 + 6 + 60 + 0 = 666.

It is a super-2 number, since 2×82075656600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82075656601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1225009767 + ... + 1225009833.

It is an arithmetic number, because the mean of its divisors is an integer number (214778850).

Almost surely, 2^82075656600 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 82075656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185568926400).

82075656600 is an abundant number, since it is smaller than the sum of its proper divisors (289062196200).

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

82075656600 is a wasteful number, since it uses less digits than its factorization.

82075656600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 82075656600 in words is "eighty-two billion, seventy-five million, six hundred fifty-six thousand, six hundred".