82576060800 has 384 divisors, whose sum is σ = 276666399360. Its totient is φ = 21645066240.

The previous prime is 82576060771. The next prime is 82576060813. The reversal of 82576060800 is 806067528.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176822167 + ... + 176822633.

It is an arithmetic number, because the mean of its divisors is an integer number (720485415).

Almost surely, 2^82576060800 is an apocalyptic number.

82576060800 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 82576060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138333199680).

82576060800 is an abundant number, since it is smaller than the sum of its proper divisors (194090338560).

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

82576060800 is a wasteful number, since it uses less digits than its factorization.

82576060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 82576060800 in words is "eighty-two billion, five hundred seventy-six million, sixty thousand, eight hundred".