82404082379808 has 240 divisors, whose sum is σ = 277130130298560. Its totient is φ = 23530350057984.

The previous prime is 82404082379807. The next prime is 82404082379849. The reversal of 82404082379808 is 80897328040428.

82404082379808 is a `hidden beast` number, since 8 + 2 + 404 + 0 + 82 + 3 + 79 + 80 + 8 = 666.

It is a super-2 number, since 2×82404082379808² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82404082379807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29944158 + ... + 32580066.

It is an arithmetic number, because the mean of its divisors is an integer number (1154708876244).

Almost surely, 2^{82404082379808} 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 82404082379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138565065149280).

82404082379808 is an abundant number, since it is smaller than the sum of its proper divisors (194726047918752).

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

82404082379808 is a wasteful number, since it uses less digits than its factorization.

82404082379808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637661 (or 2637644 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 82404082379808 in words is "eighty-two trillion, four hundred four billion, eighty-two million, three hundred seventy-nine thousand, eight hundred eight".