82176976 has 120 divisors (see below), whose sum is σ = 202973120. Its totient is φ = 31477248.

The previous prime is 82176967. The next prime is 82176979. The reversal of 82176976 is 67967128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82176979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125676 + ... + 1125748.

Almost surely, 2^82176976 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 82176976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101486560).

82176976 is an abundant number, since it is smaller than the sum of its proper divisors (120796144).

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

82176976 is a wasteful number, since it uses less digits than its factorization.

82176976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 82176976 is about 9065.1517361818. The cubic root of 82176976 is about 434.7604723501.

The spelling of 82176976 in words is "eighty-two million, one hundred seventy-six thousand, nine hundred seventy-six".