82972876800 has 336 divisors, whose sum is σ = 299311905312. Its totient is φ = 20112998400.

The previous prime is 82972876793. The next prime is 82972876801. The reversal of 82972876800 is 867827928.

It is not an unprimeable number, because it can be changed into a prime (82972876801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6752262 + ... + 6764538.

It is an arithmetic number, because the mean of its divisors is an integer number (890809242).

Almost surely, 2^82972876800 is an apocalyptic number.

82972876800 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 82972876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149655952656).

82972876800 is an abundant number, since it is smaller than the sum of its proper divisors (216339028512).

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

82972876800 is a wasteful number, since it uses less digits than its factorization.

82972876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 82972876800 in words is "eighty-two billion, nine hundred seventy-two million, eight hundred seventy-six thousand, eight hundred".