82720896 has 64 divisors (see below), whose sum is σ = 226848000. Its totient is φ = 26680320.

The previous prime is 82720879. The next prime is 82720901. The reversal of 82720896 is 69802728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8430 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (3544500).

Almost surely, 2^82720896 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 82720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113424000).

82720896 is an abundant number, since it is smaller than the sum of its proper divisors (144127104).

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

82720896 is a wasteful number, since it uses less digits than its factorization.

82720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 82720896 is about 9095.1028581320. The cubic root of 82720896 is about 435.7175737354.

The spelling of 82720896 in words is "eighty-two million, seven hundred twenty thousand, eight hundred ninety-six".