7979057280 has 320 divisors, whose sum is σ = 28713663000. Its totient is φ = 2111422464.

The previous prime is 7979057263. The next prime is 7979057291. The reversal of 7979057280 is 827509797.

It can be written as a sum of positive squares in 4 ways, for example, as 6867768384 + 1111288896 = 82872^2 + 33336^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 7723644 + ... + 7724676.

Almost surely, 2^7979057280 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 7979057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356831500).

7979057280 is an abundant number, since it is smaller than the sum of its proper divisors (20734605720).

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

7979057280 is a wasteful number, since it uses less digits than its factorization.

7979057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 7979057280 is about 89325.5690158199. The cubic root of 7979057280 is about 1998.2532482066.

The spelling of 7979057280 in words is "seven billion, nine hundred seventy-nine million, fifty-seven thousand, two hundred eighty".