1600082772 has 96 divisors (see below), whose sum is σ = 4107438720. Its totient is φ = 482549760.

The previous prime is 1600082719. The next prime is 1600082807. The reversal of 1600082772 is 2772800061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815772 + ... + 1816652.

It is an arithmetic number, because the mean of its divisors is an integer number (42785820).

Almost surely, 2^1600082772 is an apocalyptic number.

1600082772 is a gapful number since it is divisible by the number (12) 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 1600082772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053719360).

1600082772 is an abundant number, since it is smaller than the sum of its proper divisors (2507355948).

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

1600082772 is a wasteful number, since it uses less digits than its factorization.

1600082772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1600082772 is about 40001.0346366191. The cubic root of 1600082772 is about 1169.6272638370.

The spelling of 1600082772 in words is "one billion, six hundred million, eighty-two thousand, seven hundred seventy-two".