7820500 has 24 divisors (see below), whose sum is σ = 17081064. Its totient is φ = 3128000.

The previous prime is 7820479. The next prime is 7820507. The reversal of 7820500 is 50287.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 7650756 = 412^2 + 2766^2 .

It is a super-2 number, since 2×7820500² = 122320440500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7321 + ... + 8320.

It is an arithmetic number, because the mean of its divisors is an integer number (711711).

Almost surely, 2^7820500 is an apocalyptic number.

It is an amenable number.

7820500 is an abundant number, since it is smaller than the sum of its proper divisors (9260564).

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

7820500 is a wasteful number, since it uses less digits than its factorization.

7820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15660 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 7820500 is about 2796.5156892104. The cubic root of 7820500 is about 198.4928375025.

Adding to 7820500 its reverse (50287), we get a palindrome (7870787).

The spelling of 7820500 in words is "seven million, eight hundred twenty thousand, five hundred".