82887760 has 80 divisors (see below), whose sum is σ = 199232784. Its totient is φ = 32055296.

The previous prime is 82887737. The next prime is 82887797. The reversal of 82887760 is 6778828.

It can be written as a sum of positive squares in 8 ways, for example, as 150544 + 82737216 = 388^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 82887760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479034 + ... + 479206.

Almost surely, 2^82887760 is an apocalyptic number.

82887760 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 82887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99616392).

82887760 is an abundant number, since it is smaller than the sum of its proper divisors (116345024).

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

82887760 is a wasteful number, since it uses less digits than its factorization.

82887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 82887760 is about 9104.2715249492. The cubic root of 82887760 is about 436.0103524181.

It can be divided in two parts, 828 and 87760, that added together give a palindrome (88588).

The spelling of 82887760 in words is "eighty-two million, eight hundred eighty-seven thousand, seven hundred sixty".