82505808 has 180 divisors, whose sum is σ = 293293728. Its totient is φ = 21409920.

The previous prime is 82505791. The next prime is 82505827. The reversal of 82505808 is 80850528.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77085 + ... + 78147.

Almost surely, 2^82505808 is an apocalyptic number.

82505808 is a gapful number since it is divisible by the number (88) 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 82505808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

82505808 is an abundant number, since it is smaller than the sum of its proper divisors (210787920).

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

82505808 is a wasteful number, since it uses less digits than its factorization.

82505808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82505808 is about 9083.2707765430. The cubic root of 82505808 is about 435.3396000485.

The spelling of 82505808 in words is "eighty-two million, five hundred five thousand, eight hundred eight".