82086977760 has 384 divisors, whose sum is σ = 273638736000. Its totient is φ = 20654161920.

The previous prime is 82086977743. The next prime is 82086977761. The reversal of 82086977760 is 6777968028.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 82086977694 and 82086977703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82086977761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235206066 + ... + 235206414.

It is an arithmetic number, because the mean of its divisors is an integer number (712600875).

Almost surely, 2^82086977760 is an apocalyptic number.

82086977760 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 82086977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136819368000).

82086977760 is an abundant number, since it is smaller than the sum of its proper divisors (191551758240).

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

82086977760 is a wasteful number, since it uses less digits than its factorization.

82086977760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 82086977760 in words is "eighty-two billion, eighty-six million, nine hundred seventy-seven thousand, seven hundred sixty".