82904068800 has 1008 divisors, whose sum is σ = 356278720512. Its totient is φ = 17882726400.

The previous prime is 82904068777. The next prime is 82904068801. The reversal of 82904068800 is 886040928.

It is a happy number.

82904068800 is a `hidden beast` number, since 82 + 90 + 406 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (82904068801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134366092 + ... + 134366708.

Almost surely, 2^82904068800 is an apocalyptic number.

82904068800 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 82904068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178139360256).

82904068800 is an abundant number, since it is smaller than the sum of its proper divisors (273374651712).

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

82904068800 is a wasteful number, since it uses less digits than its factorization.

82904068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 82904068800 in words is "eighty-two billion, nine hundred four million, sixty-eight thousand, eight hundred".