82710981780 has 576 divisors, whose sum is σ = 289771292160. Its totient is φ = 17541328896.

The previous prime is 82710981757. The next prime is 82710981791. The reversal of 82710981780 is 8718901728.

It is a super-2 number, since 2×82710981780² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 495275257 + ... + 495275423.

It is an arithmetic number, because the mean of its divisors is an integer number (503075160).

Almost surely, 2^82710981780 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 82710981780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144885646080).

82710981780 is an abundant number, since it is smaller than the sum of its proper divisors (207060310380).

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

82710981780 is a wasteful number, since it uses less digits than its factorization.

82710981780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 51.

The spelling of 82710981780 in words is "eighty-two billion, seven hundred ten million, nine hundred eighty-one thousand, seven hundred eighty".