1920756880 has 60 divisors (see below), whose sum is σ = 5194873980. Its totient is φ = 658543872.

The previous prime is 1920756847. The next prime is 1920756881. The reversal of 1920756880 is 886570291.

It can be written as a sum of positive squares in 2 ways, for example, as 348792976 + 1571963904 = 18676^2 + 39648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1920756880.

It is not an unprimeable number, because it can be changed into a prime (1920756881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241075 + ... + 248914.

It is an arithmetic number, because the mean of its divisors is an integer number (86581233).

Almost surely, 2^1920756880 is an apocalyptic number.

1920756880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920756880 is an abundant number, since it is smaller than the sum of its proper divisors (3274117100).

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

1920756880 is a wasteful number, since it uses less digits than its factorization.

1920756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490016 (or 490003 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 1920756880 is about 43826.4404212799. The cubic root of 1920756880 is about 1243.0563005186.

The spelling of 1920756880 in words is "one billion, nine hundred twenty million, seven hundred fifty-six thousand, eight hundred eighty".