7948082880 has 448 divisors, whose sum is σ = 29182527360. Its totient is φ = 2060328960.

The previous prime is 7948082861. The next prime is 7948082881. The reversal of 7948082880 is 882808497.

7948082880 is a `hidden beast` number, since 7 + 9 + 480 + 82 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7948082881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28693302 + ... + 28693578.

It is an arithmetic number, because the mean of its divisors is an integer number (65139570).

Almost surely, 2^7948082880 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 7948082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591263680).

7948082880 is an abundant number, since it is smaller than the sum of its proper divisors (21234444480).

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

7948082880 is an equidigital number, since it uses as much as digits as its factorization.

7948082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 7948082880 is about 89152.0211773126. The cubic root of 7948082880 is about 1995.6641804603.

The spelling of 7948082880 in words is "seven billion, nine hundred forty-eight million, eighty-two thousand, eight hundred eighty".