82007300 has 18 divisors (see below), whose sum is σ = 177956058. Its totient is φ = 32802880.

The previous prime is 82007297. The next prime is 82007323. The reversal of 82007300 is 370028.

It can be written as a sum of positive squares in 3 ways, for example, as 1295044 + 80712256 = 1138^2 + 8984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 409937 + ... + 410136.

Almost surely, 2^82007300 is an apocalyptic number.

It is an amenable number.

82007300 is an abundant number, since it is smaller than the sum of its proper divisors (95948758).

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

82007300 is a wasteful number, since it uses less digits than its factorization.

82007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820087 (or 820080 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 82007300 is about 9055.7882042371. The cubic root of 82007300 is about 434.4610403548.

Adding to 82007300 its reverse (370028), we get a palindrome (82377328).

The spelling of 82007300 in words is "eighty-two million, seven thousand, three hundred".