82876176 has 160 divisors (see below), whose sum is σ = 261888000. Its totient is φ = 24976512.

The previous prime is 82876159. The next prime is 82876187. The reversal of 82876176 is 67167828.

82876176 is a `hidden beast` number, since 8 + 28 + 7 + 617 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188565 + ... + 189003.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 2^82876176 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 82876176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944000).

82876176 is an abundant number, since it is smaller than the sum of its proper divisors (179011824).

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

82876176 is a wasteful number, since it uses less digits than its factorization.

82876176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

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

The square root of 82876176 is about 9103.6353178277. The cubic root of 82876176 is about 435.9900398925.

The spelling of 82876176 in words is "eighty-two million, eight hundred seventy-six thousand, one hundred seventy-six".