82061760 has 224 divisors, whose sum is σ = 299923200. Its totient is φ = 18800640.

The previous prime is 82061753. The next prime is 82061761. The reversal of 82061760 is 6716028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82061761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200436 + ... + 200844.

Almost surely, 2^82061760 is an apocalyptic number.

82061760 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 82061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149961600).

82061760 is an abundant number, since it is smaller than the sum of its proper divisors (217861440).

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

82061760 is a wasteful number, since it uses less digits than its factorization.

82061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82061760 is about 9058.7946218026. The cubic root of 82061760 is about 434.5571924152.

Adding to 82061760 its reverse (6716028), we get a palindrome (88777788).

The spelling of 82061760 in words is "eighty-two million, sixty-one thousand, seven hundred sixty".