7813893906 has 384 divisors, whose sum is σ = 24128133120. Its totient is φ = 1834140672.

The previous prime is 7813893869. The next prime is 7813893911. The reversal of 7813893906 is 6093983187.

It is a super-2 number, since 2×7813893906² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14284725 + ... + 14285271.

It is an arithmetic number, because the mean of its divisors is an integer number (62833680).

Almost surely, 2^7813893906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813893906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064066560).

7813893906 is an abundant number, since it is smaller than the sum of its proper divisors (16314239214).

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

7813893906 is a wasteful number, since it uses less digits than its factorization.

7813893906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7813893906 is about 88396.2324197135. The cubic root of 7813893906 is about 1984.3693179612.

The spelling of 7813893906 in words is "seven billion, eight hundred thirteen million, eight hundred ninety-three thousand, nine hundred six".