82800801 has 6 divisors (see below), whose sum is σ = 119601170. Its totient is φ = 55200528.

The previous prime is 82800797. The next prime is 82800821. The reversal of 82800801 is 10800828.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 11229201 = 8460^2 + 3351^2 .

It is not a de Polignac number, because 82800801 - 2² = 82800797 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82800821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4600036 + ... + 4600053.

Almost surely, 2^82800801 is an apocalyptic number.

It is an amenable number.

82800801 is a deficient number, since it is larger than the sum of its proper divisors (36800369).

82800801 is a wasteful number, since it uses less digits than its factorization.

82800801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200095 (or 9200092 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 82800801 is about 9099.4945464020. The cubic root of 82800801 is about 435.8578237011.

Adding to 82800801 its sum of digits (27), we get a palindrome (82800828).

The spelling of 82800801 in words is "eighty-two million, eight hundred thousand, eight hundred one".