82341279720 has 768 divisors, whose sum is σ = 330670080000. Its totient is φ = 17726252544.

The previous prime is 82341279719. The next prime is 82341279733. The reversal of 82341279720 is 2797214328.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224362977 + ... + 224363343.

It is an arithmetic number, because the mean of its divisors is an integer number (430560000).

Almost surely, 2^82341279720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82341279720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165335040000).

82341279720 is an abundant number, since it is smaller than the sum of its proper divisors (248328800280).

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

82341279720 is a wasteful number, since it uses less digits than its factorization.

82341279720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 82341279720 in words is "eighty-two billion, three hundred forty-one million, two hundred seventy-nine thousand, seven hundred twenty".