82800160 has 24 divisors (see below), whose sum is σ = 195615756. Its totient is φ = 33120000.

The previous prime is 82800127. The next prime is 82800167. The reversal of 82800160 is 6100828.

It can be written as a sum of positive squares in 2 ways, for example, as 82228624 + 571536 = 9068^2 + 756^2 .

It is not an unprimeable number, because it can be changed into a prime (82800167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258591 + ... + 258910.

Almost surely, 2^82800160 is an apocalyptic number.

82800160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82800160 is an abundant number, since it is smaller than the sum of its proper divisors (112815596).

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

82800160 is a wasteful number, since it uses less digits than its factorization.

82800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517516 (or 517508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 82800160 is about 9099.4593245973. The cubic root of 82800160 is about 435.8566989713.

Adding to 82800160 its reverse (6100828), we get a palindrome (88900988).

The spelling of 82800160 in words is "eighty-two million, eight hundred thousand, one hundred sixty".