82247010800 has 120 divisors (see below), whose sum is σ = 202100606400. Its totient is φ = 32151306240.

The previous prime is 82247010799. The next prime is 82247010823. The reversal of 82247010800 is 801074228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14454356 + ... + 14460044.

It is an arithmetic number, because the mean of its divisors is an integer number (1684171720).

Almost surely, 2^82247010800 is an apocalyptic number.

82247010800 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 82247010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101050303200).

82247010800 is an abundant number, since it is smaller than the sum of its proper divisors (119853595600).

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

82247010800 is a wasteful number, since it uses less digits than its factorization.

82247010800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 82247010800 in words is "eighty-two billion, two hundred forty-seven million, ten thousand, eight hundred".