82805520 has 160 divisors (see below), whose sum is σ = 306266112. Its totient is φ = 18095616.

The previous prime is 82805507. The next prime is 82805537. The reversal of 82805520 is 2550828.

It is a super-3 number, since 3×82805520³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37569 + ... + 39711.

Almost surely, 2^82805520 is an apocalyptic number.

82805520 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 82805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153133056).

82805520 is an abundant number, since it is smaller than the sum of its proper divisors (223460592).

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

82805520 is a wasteful number, since it uses less digits than its factorization.

82805520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 82805520 is about 9099.7538428245. The cubic root of 82805520 is about 435.8661037095.

The spelling of 82805520 in words is "eighty-two million, eight hundred five thousand, five hundred twenty".