82984823920 has 80 divisors (see below), whose sum is σ = 195334194240. Its totient is φ = 32783616000.

The previous prime is 82984823891. The next prime is 82984823939. The reversal of 82984823920 is 2932848928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3292165 + ... + 3317275.

It is an arithmetic number, because the mean of its divisors is an integer number (2441677428).

Almost surely, 2^82984823920 is an apocalyptic number.

82984823920 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 82984823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97667097120).

82984823920 is an abundant number, since it is smaller than the sum of its proper divisors (112349370320).

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

82984823920 is a wasteful number, since it uses less digits than its factorization.

82984823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25634 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 82984823920 in words is "eighty-two billion, nine hundred eighty-four million, eight hundred twenty-three thousand, nine hundred twenty".