82923845760 has 768 divisors, whose sum is σ = 348510988800. Its totient is φ = 17736007680.

The previous prime is 82923845717. The next prime is 82923845773. The reversal of 82923845760 is 6754832928.

It is a junction number, because it is equal to n+sod(n) for n = 82923845697 and 82923845706.

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, 213171646 + ... + 213172034.

It is an arithmetic number, because the mean of its divisors is an integer number (453790350).

Almost surely, 2^82923845760 is an apocalyptic number.

82923845760 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 82923845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174255494400).

82923845760 is an abundant number, since it is smaller than the sum of its proper divisors (265587143040).

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

82923845760 is a wasteful number, since it uses less digits than its factorization.

82923845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82923845760 in words is "eighty-two billion, nine hundred twenty-three million, eight hundred forty-five thousand, seven hundred sixty".