7928781120 has 448 divisors, whose sum is σ = 30566807040. Its totient is φ = 1922973696.

The previous prime is 7928781059. The next prime is 7928781151. The reversal of 7928781120 is 211878297.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8198877 + ... + 8199843.

It is an arithmetic number, because the mean of its divisors is an integer number (68229480).

Almost surely, 2^7928781120 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 7928781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283403520).

7928781120 is an abundant number, since it is smaller than the sum of its proper divisors (22638025920).

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

7928781120 is a wasteful number, since it uses less digits than its factorization.

7928781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

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

The square root of 7928781120 is about 89043.7034270251. The cubic root of 7928781120 is about 1994.0473941520.

The spelling of 7928781120 in words is "seven billion, nine hundred twenty-eight million, seven hundred eighty-one thousand, one hundred twenty".