82815778080 has 288 divisors, whose sum is σ = 337179386880. Its totient is φ = 18929272320.

The previous prime is 82815778043. The next prime is 82815778109. The reversal of 82815778080 is 8087751828.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16065 + ... + 407295.

It is an arithmetic number, because the mean of its divisors is an integer number (1170761760).

Almost surely, 2^82815778080 is an apocalyptic number.

82815778080 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 82815778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168589693440).

82815778080 is an abundant number, since it is smaller than the sum of its proper divisors (254363608800).

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

82815778080 is a wasteful number, since it uses less digits than its factorization.

82815778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391269 (or 391248 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 82815778080 in words is "eighty-two billion, eight hundred fifteen million, seven hundred seventy-eight thousand, eighty".