82280448000 has 760 divisors, whose sum is σ = 316686125184. Its totient is φ = 21233664000.

The previous prime is 82280447993. The next prime is 82280448067. The reversal of 82280448000 is 84408228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2654207985 + ... + 2654208015.

Almost surely, 2^82280448000 is an apocalyptic number.

82280448000 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 82280448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158343062592).

82280448000 is an abundant number, since it is smaller than the sum of its proper divisors (234405677184).

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

82280448000 is an frugal number, since it uses more digits than its factorization.

82280448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 82280448000 in words is "eighty-two billion, two hundred eighty million, four hundred forty-eight thousand".