7879180224 has 224 divisors, whose sum is σ = 22832527360. Its totient is φ = 2395422720.

The previous prime is 7879180223. The next prime is 7879180237. The reversal of 7879180224 is 4220819787.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879180223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40824672 + ... + 40824864.

Almost surely, 2^7879180224 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 7879180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416263680).

7879180224 is an abundant number, since it is smaller than the sum of its proper divisors (14953347136).

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

7879180224 is a wasteful number, since it uses less digits than its factorization.

7879180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 7879180224 is about 88764.7465157199. The cubic root of 7879180224 is about 1989.8805702591.

The spelling of 7879180224 in words is "seven billion, eight hundred seventy-nine million, one hundred eighty thousand, two hundred twenty-four".