7728981120 has 960 divisors, whose sum is σ = 33856574400. Its totient is φ = 1645277184.

The previous prime is 7728981089. The next prime is 7728981131. The reversal of 7728981120 is 211898277.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130999651 + ... + 130999709.

It is an arithmetic number, because the mean of its divisors is an integer number (35267265).

Almost surely, 2^7728981120 is an apocalyptic number.

7728981120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928287200).

7728981120 is an abundant number, since it is smaller than the sum of its proper divisors (26127593280).

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

7728981120 is a wasteful number, since it uses less digits than its factorization.

7728981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7728981120 is about 87914.6240394623. The cubic root of 7728981120 is about 1977.1551431277.

The spelling of 7728981120 in words is "seven billion, seven hundred twenty-eight million, nine hundred eighty-one thousand, one hundred twenty".