82602741760 has 416 divisors, whose sum is σ = 252413856000. Its totient is φ = 25722224640.

The previous prime is 82602741757. The next prime is 82602741761. The reversal of 82602741760 is 6714720628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82602741761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77270506 + ... + 77271574.

Almost surely, 2^82602741760 is an apocalyptic number.

82602741760 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 82602741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206928000).

82602741760 is an abundant number, since it is smaller than the sum of its proper divisors (169811114240).

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

82602741760 is a wasteful number, since it uses less digits than its factorization.

82602741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 82602741760 in words is "eighty-two billion, six hundred two million, seven hundred forty-one thousand, seven hundred sixty".