82766752 has 48 divisors (see below), whose sum is σ = 167567400. Its totient is φ = 40227840.

The previous prime is 82766713. The next prime is 82766753. The reversal of 82766752 is 25766728.

It can be written as a sum of positive squares in 4 ways, for example, as 45751696 + 37015056 = 6764^2 + 6084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82766699 and 82766708.

It is not an unprimeable number, because it can be changed into a prime (82766753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212574 + ... + 212962.

Almost surely, 2^82766752 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 82766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83783700).

82766752 is an abundant number, since it is smaller than the sum of its proper divisors (84800648).

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

82766752 is a wasteful number, since it uses less digits than its factorization.

82766752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 82766752 is about 9097.6234259283. The cubic root of 82766752 is about 435.7980716313.

The spelling of 82766752 in words is "eighty-two million, seven hundred sixty-six thousand, seven hundred fifty-two".