1600779040 has 144 divisors (see below), whose sum is σ = 4461142392. Its totient is φ = 541126656.

The previous prime is 1600778999. The next prime is 1600779071. The reversal of 1600779040 is 409770061.

It can be written as a sum of positive squares in 4 ways, for example, as 1456490896 + 144288144 = 38164^2 + 12012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1600778987 and 1600779005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570922 + ... + 573718.

Almost surely, 2^1600779040 is an apocalyptic number.

1600779040 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 1600779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230571196).

1600779040 is an abundant number, since it is smaller than the sum of its proper divisors (2860363352).

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

1600779040 is a wasteful number, since it uses less digits than its factorization.

1600779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 1600779040 is about 40009.7368149304. The cubic root of 1600779040 is about 1169.7968917161.

The spelling of 1600779040 in words is "one billion, six hundred million, seven hundred seventy-nine thousand, forty".