7813000000 has 196 divisors, whose sum is σ = 20905123036. Its totient is φ = 2880000000.

The previous prime is 7812999983. The next prime is 7813000001. The reversal of 7813000000 is 3187.

It can be written as a sum of positive squares in 14 ways, for example, as 6433323264 + 1379676736 = 80208^2 + 37144^2 .

It is a super-2 number, since 2×7813000000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12999700 + ... + 13000300.

It is an arithmetic number, because the mean of its divisors is an integer number (106658791).

Almost surely, 2^7813000000 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 7813000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452561518).

7813000000 is an abundant number, since it is smaller than the sum of its proper divisors (13092123036).

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

7813000000 is an frugal number, since it uses more digits than its factorization.

7813000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 7813000000 is about 88391.1760301898. The cubic root of 7813000000 is about 1984.2936447519.

Adding to 7813000000 its reverse (3187), we get a palindrome (7813003187).

The spelling of 7813000000 in words is "seven billion, eight hundred thirteen million", and thus it is an aban number.