82977824 has 48 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 39866880.

The previous prime is 82977803. The next prime is 82977827. The reversal of 82977824 is 42877928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82977827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230957 + ... + 231315.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^82977824 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 82977824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

82977824 is an abundant number, since it is smaller than the sum of its proper divisors (86850016).

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

82977824 is a wasteful number, since it uses less digits than its factorization.

82977824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 82977824 is about 9109.2164317245. The cubic root of 82977824 is about 436.1682149786.

The spelling of 82977824 in words is "eighty-two million, nine hundred seventy-seven thousand, eight hundred twenty-four".