82766860 has 48 divisors (see below), whose sum is σ = 190616832. Its totient is φ = 29937600.

The previous prime is 82766843. The next prime is 82766927. The reversal of 82766860 is 6866728.

It is a super-2 number, since 2×82766860² = 13700706228519200, which contains 22 as substring.

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, 45529 + ... + 47311.

It is an arithmetic number, because the mean of its divisors is an integer number (3971184).

Almost surely, 2^82766860 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 82766860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95308416).

82766860 is an abundant number, since it is smaller than the sum of its proper divisors (107849972).

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

82766860 is a wasteful number, since it uses less digits than its factorization.

82766860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 82766860 is about 9097.6293615425. The cubic root of 82766860 is about 435.7982611847.

It can be divided in two parts, 827668 and 60, that added together give a palindrome (827728).

The spelling of 82766860 in words is "eighty-two million, seven hundred sixty-six thousand, eight hundred sixty".