82119680 has 88 divisors (see below), whose sum is σ = 202112592. Its totient is φ = 31997952.

The previous prime is 82119659. The next prime is 82119703. The reversal of 82119680 is 8691128.

It is a self number, because there is not a number n which added to its sum of digits gives 82119680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219974 + ... + 220346.

It is an arithmetic number, because the mean of its divisors is an integer number (2296734).

Almost surely, 2^82119680 is an apocalyptic number.

82119680 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 82119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056296).

82119680 is an abundant number, since it is smaller than the sum of its proper divisors (119992912).

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

82119680 is a wasteful number, since it uses less digits than its factorization.

82119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 82119680 is about 9061.9909512204. The cubic root of 82119680 is about 434.6594066226.

The spelling of 82119680 in words is "eighty-two million, one hundred nineteen thousand, six hundred eighty".