1382779872 has 144 divisors (see below), whose sum is σ = 4319602560. Its totient is φ = 417643776.

The previous prime is 1382779861. The next prime is 1382779877. The reversal of 1382779872 is 2789772831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382779877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120363 + ... + 131349.

It is an arithmetic number, because the mean of its divisors is an integer number (29997240).

Almost surely, 2^1382779872 is an apocalyptic number.

1382779872 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 1382779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159801280).

1382779872 is an abundant number, since it is smaller than the sum of its proper divisors (2936822688).

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

1382779872 is a wasteful number, since it uses less digits than its factorization.

1382779872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11034 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 1382779872 is about 37185.7482377322. The cubic root of 1382779872 is about 1114.0833483167.

The spelling of 1382779872 in words is "one billion, three hundred eighty-two million, seven hundred seventy-nine thousand, eight hundred seventy-two".