82556760 has 256 divisors, whose sum is σ = 309173760. Its totient is φ = 17326080.

The previous prime is 82556737. The next prime is 82556801. The reversal of 82556760 is 6765528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291579 + ... + 291861.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 2^82556760 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 82556760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586880).

82556760 is an abundant number, since it is smaller than the sum of its proper divisors (226617000).

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

82556760 is a wasteful number, since it uses less digits than its factorization.

82556760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 82556760 is about 9086.0750602226. The cubic root of 82556760 is about 435.4291972107.

The spelling of 82556760 in words is "eighty-two million, five hundred fifty-six thousand, seven hundred sixty".