82346880 has 256 divisors, whose sum is σ = 327836160. Its totient is φ = 17080320.

The previous prime is 82346843. The next prime is 82346897. The reversal of 82346880 is 8864328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147562 + ... + 148118.

It is an arithmetic number, because the mean of its divisors is an integer number (1280610).

Almost surely, 2^82346880 is an apocalyptic number.

82346880 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 82346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

82346880 is an abundant number, since it is smaller than the sum of its proper divisors (245489280).

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

82346880 is a wasteful number, since it uses less digits than its factorization.

82346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 82346880 is about 9074.5181690269. The cubic root of 82346880 is about 435.0598939858.

The spelling of 82346880 in words is "eighty-two million, three hundred forty-six thousand, eight hundred eighty".