80072180082 has 192 divisors, whose sum is σ = 195981327360. Its totient is φ = 23530214400.

The previous prime is 80072180077. The next prime is 80072180101. The reversal of 80072180082 is 28008127008.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23133832 + ... + 23137292.

It is an arithmetic number, because the mean of its divisors is an integer number (1020736080).

Almost surely, 2^80072180082 is an apocalyptic number.

80072180082 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 80072180082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990663680).

80072180082 is an abundant number, since it is smaller than the sum of its proper divisors (115909147278).

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

80072180082 is a wasteful number, since it uses less digits than its factorization.

80072180082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 80072180082 in words is "eighty billion, seventy-two million, one hundred eighty thousand, eighty-two".