7820500000 has 84 divisors (see below), whose sum is σ = 19246745826. Its totient is φ = 3128000000.

The previous prime is 7820499989. The next prime is 7820500007. The reversal of 7820500000 is 50287.

It can be written as a sum of positive squares in 7 ways, for example, as 1526933776 + 6293566224 = 39076^2 + 79332^2 .

It is a super-2 number, since 2×7820500000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7820500007) 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 13 ways as a sum of consecutive naturals, for example, 492180 + ... + 507820.

Almost surely, 2^7820500000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7820500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623372913).

7820500000 is an abundant number, since it is smaller than the sum of its proper divisors (11426245826).

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

7820500000 is an frugal number, since it uses more digits than its factorization.

7820500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681 (or 15648 counting only the distinct ones).

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

The square root of 7820500000 is about 88433.5909030047. The cubic root of 7820500000 is about 1984.9283750251.

Adding to 7820500000 its reverse (50287), we get a palindrome (7820550287).

The spelling of 7820500000 in words is "seven billion, eight hundred twenty million, five hundred thousand".