82447308000 has 960 divisors, whose sum is σ = 325361836800. Its totient is φ = 20385561600.

The previous prime is 82447307939. The next prime is 82447308007. The reversal of 82447308000 is 80374428.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82447308007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 363203887 + ... + 363204113.

It is an arithmetic number, because the mean of its divisors is an integer number (338918580).

Almost surely, 2^82447308000 is an apocalyptic number.

82447308000 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 82447308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680918400).

82447308000 is an abundant number, since it is smaller than the sum of its proper divisors (242914528800).

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

82447308000 is a wasteful number, since it uses less digits than its factorization.

82447308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82447308000 in words is "eighty-two billion, four hundred forty-seven million, three hundred eight thousand".