1578119680 has 120 divisors (see below), whose sum is σ = 3924109332. Its totient is φ = 608649216.

The previous prime is 1578119603. The next prime is 1578119701. The reversal of 1578119680 is 869118751.

It can be written as a sum of positive squares in 6 ways, for example, as 1197713664 + 380406016 = 34608^2 + 19504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1578119680.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152594 + ... + 2153326.

Almost surely, 2^1578119680 is an apocalyptic number.

1578119680 is a gapful number since it is divisible by the number (10) 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 1578119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962054666).

1578119680 is an abundant number, since it is smaller than the sum of its proper divisors (2345989652).

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

1578119680 is an frugal number, since it uses more digits than its factorization.

1578119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The square root of 1578119680 is about 39725.5544958154. The cubic root of 1578119680 is about 1164.2510686833.

The spelling of 1578119680 in words is "one billion, five hundred seventy-eight million, one hundred nineteen thousand, six hundred eighty".