82688760 has 384 divisors, whose sum is σ = 354931200. Its totient is φ = 16174080.

The previous prime is 82688719. The next prime is 82688783. The reversal of 82688760 is 6788628.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526602 + ... + 526758.

It is an arithmetic number, because the mean of its divisors is an integer number (924300).

Almost surely, 2^82688760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177465600).

82688760 is an abundant number, since it is smaller than the sum of its proper divisors (272242440).

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

82688760 is a wasteful number, since it uses less digits than its factorization.

82688760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 82688760 is about 9093.3360215050. The cubic root of 82688760 is about 435.6611428768.

The spelling of 82688760 in words is "eighty-two million, six hundred eighty-eight thousand, seven hundred sixty".