82447776 has 72 divisors (see below), whose sum is σ = 239488704. Its totient is φ = 26893440.

The previous prime is 82447759. The next prime is 82447777. The reversal of 82447776 is 67774428.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82447777) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10491 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (3326232).

Almost surely, 2^82447776 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 82447776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119744352).

82447776 is an abundant number, since it is smaller than the sum of its proper divisors (157040928).

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

82447776 is a wasteful number, since it uses less digits than its factorization.

82447776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6143 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 82447776 is about 9080.0757706090. The cubic root of 82447776 is about 435.2375080309.

The spelling of 82447776 in words is "eighty-two million, four hundred forty-seven thousand, seven hundred seventy-six".