82507680 has 192 divisors, whose sum is σ = 293932800. Its totient is φ = 21611520.

The previous prime is 82507673. The next prime is 82507699. The reversal of 82507680 is 8670528.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 306586 + ... + 306854.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^82507680 is an apocalyptic number.

82507680 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 82507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

82507680 is an abundant number, since it is smaller than the sum of its proper divisors (211425120).

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

82507680 is a wasteful number, since it uses less digits than its factorization.

82507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82507680 is about 9083.3738225397. The cubic root of 82507680 is about 435.3428925423.

The spelling of 82507680 in words is "eighty-two million, five hundred seven thousand, six hundred eighty".