82766178 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 24504480.

The previous prime is 82766153. The next prime is 82766179. The reversal of 82766178 is 87166728.

82766178 is a `hidden beast` number, since 8 + 27 + 6 + 617 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82766179) 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, 346183 + ... + 346421.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^82766178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82766178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

82766178 is an abundant number, since it is smaller than the sum of its proper divisors (124075422).

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

82766178 is a wasteful number, since it uses less digits than its factorization.

82766178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 82766178 is about 9097.5918791733. The cubic root of 82766178 is about 435.7970641870.

It can be divided in two parts, 82766 and 178, that added together give a square (82944 = 288²).

The spelling of 82766178 in words is "eighty-two million, seven hundred sixty-six thousand, one hundred seventy-eight".