82721020800 has 1152 divisors, whose sum is σ = 327016569600. Its totient is φ = 18292736000.

The previous prime is 82721020751. The next prime is 82721020819. The reversal of 82721020800 is 802012728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165084765 + ... + 1165084835.

It is an arithmetic number, because the mean of its divisors is an integer number (283868550).

Almost surely, 2^82721020800 is an apocalyptic number.

82721020800 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 82721020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163508284800).

82721020800 is an abundant number, since it is smaller than the sum of its proper divisors (244295548800).

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

82721020800 is a wasteful number, since it uses less digits than its factorization.

82721020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 82721020800 in words is "eighty-two billion, seven hundred twenty-one million, twenty thousand, eight hundred".