82707768 has 192 divisors, whose sum is σ = 273218400. Its totient is φ = 22256640.

The previous prime is 82707761. The next prime is 82707773. The reversal of 82707768 is 86770728.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82707761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298446 + ... + 298722.

Almost surely, 2^82707768 is an apocalyptic number.

82707768 is a gapful number since it is divisible by the number (88) 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 82707768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136609200).

82707768 is an abundant number, since it is smaller than the sum of its proper divisors (190510632).

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

82707768 is a wasteful number, since it uses less digits than its factorization.

82707768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 82707768 is about 9094.3811224294. The cubic root of 82707768 is about 435.6945227161.

The spelling of 82707768 in words is "eighty-two million, seven hundred seven thousand, seven hundred sixty-eight".