82004590080 has 640 divisors, whose sum is σ = 347420620800. Its totient is φ = 17926520832.

The previous prime is 82004590051. The next prime is 82004590097. The reversal of 82004590080 is 8009540028.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11124636 + ... + 11132004.

It is an arithmetic number, because the mean of its divisors is an integer number (542844720).

Almost surely, 2^82004590080 is an apocalyptic number.

82004590080 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 82004590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173710310400).

82004590080 is an abundant number, since it is smaller than the sum of its proper divisors (265416030720).

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

82004590080 is a wasteful number, since it uses less digits than its factorization.

82004590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 82004590080 in words is "eighty-two billion, four million, five hundred ninety thousand, eighty".