7813000008 has 108 divisors (see below), whose sum is σ = 23283327795. Its totient is φ = 2365075680.

The previous prime is 7813000003. The next prime is 7813000033. The reversal of 7813000008 is 8000003187.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3906500004 + 3906500004 = 62502^2 + 62502^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62502.

It is a super-2 number, since 2×7813000008² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 26 ways as a sum of consecutive naturals, for example, 8249791 + ... + 8250737.

Almost surely, 2^7813000008 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 7813000008

7813000008 is an abundant number, since it is smaller than the sum of its proper divisors (15470327787).

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

7813000008 is a wasteful number, since it uses less digits than its factorization.

7813000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7813000008 is about 88391.1760754432. The cubic root of 7813000008 is about 1984.2936454292.

The spelling of 7813000008 in words is "seven billion, eight hundred thirteen million, eight", and thus it is an aban number.