82802720 has 288 divisors, whose sum is σ = 270273024. Its totient is φ = 23316480.

The previous prime is 82802689. The next prime is 82802747. The reversal of 82802720 is 2720828.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1761737 + ... + 1761783.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 2^82802720 is an apocalyptic number.

82802720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

82802720 is an abundant number, since it is smaller than the sum of its proper divisors (187470304).

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

82802720 is a wasteful number, since it uses less digits than its factorization.

82802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82802720 is about 9099.5999912084. The cubic root of 82802720 is about 435.8611908372.

The spelling of 82802720 in words is "eighty-two million, eight hundred two thousand, seven hundred twenty".