76882176 has 216 divisors, whose sum is σ = 265638240. Its totient is φ = 21869568.

The previous prime is 76882159. The next prime is 76882193. The reversal of 76882176 is 67128867.

It is an interprime number because it is at equal distance from previous prime (76882159) and next prime (76882193).

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338575 + ... + 338801.

Almost surely, 2^76882176 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 76882176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132819120).

76882176 is an abundant number, since it is smaller than the sum of its proper divisors (188756064).

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

76882176 is a wasteful number, since it uses less digits than its factorization.

76882176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

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

The square root of 76882176 is about 8768.2481716703. The cubic root of 76882176 is about 425.2149795882.

It can be divided in two parts, 768 and 82176, that added together give a square (82944 = 288²).

The spelling of 76882176 in words is "seventy-six million, eight hundred eighty-two thousand, one hundred seventy-six".