7813106730 has 288 divisors, whose sum is σ = 24251507280. Its totient is φ = 1733529600.

The previous prime is 7813106699. The next prime is 7813106753. The reversal of 7813106730 is 376013187.

It can be written as a sum of positive squares in 8 ways, for example, as 4880559321 + 2932547409 = 69861^2 + 54153^2 .

It is a super-2 number, since 2×7813106730² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32419410 + ... + 32419650.

Almost surely, 2^7813106730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813106730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125753640).

7813106730 is an abundant number, since it is smaller than the sum of its proper divisors (16438400550).

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

7813106730 is a wasteful number, since it uses less digits than its factorization.

7813106730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7813106730 is about 88391.7797648628. The cubic root of 7813106730 is about 1984.3026802354.

The spelling of 7813106730 in words is "seven billion, eight hundred thirteen million, one hundred six thousand, seven hundred thirty".