82527808 has 42 divisors (see below), whose sum is σ = 180024278. Its totient is φ = 37509120.

The previous prime is 82527803. The next prime is 82527821. The reversal of 82527808 is 80872528.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 31719424 = 7128^2 + 5632^2 .

It is not an unprimeable number, because it can be changed into a prime (82527803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2416 + ... + 13072.

Almost surely, 2^82527808 is an apocalyptic number.

82527808 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 82527808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90012139).

82527808 is an abundant number, since it is smaller than the sum of its proper divisors (97496470).

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

82527808 is a wasteful number, since it uses less digits than its factorization.

82527808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 82527808 is about 9084.4817133395. The cubic root of 82527808 is about 435.3782907391.

The spelling of 82527808 in words is "eighty-two million, five hundred twenty-seven thousand, eight hundred eight".