7893967104 has 135 divisors (see below), whose sum is σ = 23576593117. Its totient is φ = 2627057664.

The previous prime is 7893967099. The next prime is 7893967111. The reversal of 7893967104 is 4017693987.

It is a happy number.

The square root of 7893967104 is 88848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 7665352704 = 15120^2 + 87552^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12793804 + ... + 12794420.

Almost surely, 2^7893967104 is an apocalyptic number.

7893967104 is the 88848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7893967104

7893967104 is an abundant number, since it is smaller than the sum of its proper divisors (15682626013).

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

7893967104 is an frugal number, since it uses more digits than its factorization.

7893967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The cubic root of 7893967104 is about 1991.1245972076.

The spelling of 7893967104 in words is "seven billion, eight hundred ninety-three million, nine hundred sixty-seven thousand, one hundred four".