82334776320 has 880 divisors, whose sum is σ = 319100115840. Its totient is φ = 20316635136.

The previous prime is 82334776313. The next prime is 82334776423. The reversal of 82334776320 is 2367743328.

82334776320 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 4 + 7 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1914762219 + ... + 1914762261.

It is an arithmetic number, because the mean of its divisors is an integer number (362613768).

Almost surely, 2^82334776320 is an apocalyptic number.

82334776320 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 82334776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159550057920).

82334776320 is an abundant number, since it is smaller than the sum of its proper divisors (236765339520).

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

82334776320 is an frugal number, since it uses more digits than its factorization.

82334776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 82334776320 in words is "eighty-two billion, three hundred thirty-four million, seven hundred seventy-six thousand, three hundred twenty".