82978672 has 40 divisors (see below), whose sum is σ = 184809600. Its totient is φ = 35355072.

The previous prime is 82978631. The next prime is 82978673. The reversal of 82978672 is 27687928.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82978673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17979 + ... + 22117.

It is an arithmetic number, because the mean of its divisors is an integer number (4620240).

Almost surely, 2^82978672 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 82978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92404800).

82978672 is an abundant number, since it is smaller than the sum of its proper divisors (101830928).

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

82978672 is a wasteful number, since it uses less digits than its factorization.

82978672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4327 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 82978672 is about 9109.2629778704. The cubic root of 82978672 is about 436.1697007948.

The spelling of 82978672 in words is "eighty-two million, nine hundred seventy-eight thousand, six hundred seventy-two".