82207680 has 112 divisors (see below), whose sum is σ = 274807680. Its totient is φ = 20763648.

The previous prime is 82207679. The next prime is 82207703. The reversal of 82207680 is 8670228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (2453640).

Almost surely, 2^82207680 is an apocalyptic number.

82207680 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 82207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

82207680 is an abundant number, since it is smaller than the sum of its proper divisors (192600000).

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

82207680 is a wasteful number, since it uses less digits than its factorization.

82207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82207680 is about 9066.8450962835. The cubic root of 82207680 is about 434.8146125079.

The spelling of 82207680 in words is "eighty-two million, two hundred seven thousand, six hundred eighty".