7813435340 has 48 divisors (see below), whose sum is σ = 17197270272. Its totient is φ = 2976278976.

The previous prime is 7813435321. The next prime is 7813435349. The reversal of 7813435340 is 435343187.

It is a super-3 number, since 3×7813435340³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 7813435294 and 7813435303.

It is not an unprimeable number, because it can be changed into a prime (7813435349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67007 + ... + 141833.

It is an arithmetic number, because the mean of its divisors is an integer number (358276464).

Almost surely, 2^7813435340 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 7813435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598635136).

7813435340 is an abundant number, since it is smaller than the sum of its proper divisors (9383834932).

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

7813435340 is a wasteful number, since it uses less digits than its factorization.

7813435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75086 (or 75084 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 7813435340 is about 88393.6385720149. The cubic root of 7813435340 is about 1984.3304989843.

The spelling of 7813435340 in words is "seven billion, eight hundred thirteen million, four hundred thirty-five thousand, three hundred forty".