7948079104 has 117 divisors (see below), whose sum is σ = 18582569487. Its totient is φ = 3389202432.

The previous prime is 7948079047. The next prime is 7948079123. The reversal of 7948079104 is 4019708497.

The square root of 7948079104 is 89152.

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

It is a super-2 number, since 2×7948079104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39939997 + ... + 39940195.

Almost surely, 2^7948079104 is an apocalyptic number.

7948079104 is the 89152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7948079104

7948079104 is an abundant number, since it is smaller than the sum of its proper divisors (10634490383).

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

7948079104 is an frugal number, since it uses more digits than its factorization.

7948079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The cubic root of 7948079104 is about 1995.6638644248.

Multiplying 7948079104 by its sum of digits (49), we get a square (389455876096 = 624064²).

7948079104 divided by its sum of digits (49) gives a square (162205696 = 12736²).

The spelling of 7948079104 in words is "seven billion, nine hundred forty-eight million, seventy-nine thousand, one hundred four".