82972205776 has 80 divisors (see below), whose sum is σ = 174963957840. Its totient is φ = 38022082560.

The previous prime is 82972205753. The next prime is 82972205791. The reversal of 82972205776 is 67750227928.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11853983376 + 71118222400 = 108876^2 + 266680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644950 + ... + 762826.

It is an arithmetic number, because the mean of its divisors is an integer number (2187049473).

Almost surely, 2^82972205776 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 82972205776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87481978920).

82972205776 is an abundant number, since it is smaller than the sum of its proper divisors (91991752064).

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

82972205776 is a wasteful number, since it uses less digits than its factorization.

82972205776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117992 (or 117986 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 82972205776 in words is "eighty-two billion, nine hundred seventy-two million, two hundred five thousand, seven hundred seventy-six".