82602079276080 has 640 divisors, whose sum is σ = 324123254784000. Its totient is φ = 17290873184256.

The previous prime is 82602079276049. The next prime is 82602079276091. The reversal of 82602079276080 is 8067297020628.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82602079276080.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135606436 + ... + 136214204.

It is an arithmetic number, because the mean of its divisors is an integer number (506442585600).

Almost surely, 2^{82602079276080} is an apocalyptic number.

82602079276080 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 82602079276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162061627392000).

82602079276080 is an abundant number, since it is smaller than the sum of its proper divisors (241521175507920).

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

82602079276080 is a wasteful number, since it uses less digits than its factorization.

82602079276080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607946 (or 607926 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 82602079276080 in words is "eighty-two trillion, six hundred two billion, seventy-nine million, two hundred seventy-six thousand, eighty".