82775580 has 96 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 21158400.

The previous prime is 82775573. The next prime is 82775591. The reversal of 82775580 is 8557728.

It is a happy number.

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, 355144 + ... + 355376.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 2^82775580 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 82775580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

82775580 is an abundant number, since it is smaller than the sum of its proper divisors (158757348).

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

82775580 is a wasteful number, since it uses less digits than its factorization.

82775580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 82775580 is about 9098.1085946476. The cubic root of 82775580 is about 435.8135653269.

The spelling of 82775580 in words is "eighty-two million, seven hundred seventy-five thousand, five hundred eighty".