1382776512 has 112 divisors (see below), whose sum is σ = 3994525920. Its totient is φ = 419586048.

The previous prime is 1382776511. The next prime is 1382776517. The reversal of 1382776512 is 2156772831.

1382776512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382776512² = 3824141764277772288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1382776511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178414 + ... + 186002.

It is an arithmetic number, because the mean of its divisors is an integer number (35665410).

Almost surely, 2^1382776512 is an apocalyptic number.

1382776512 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 1382776512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997262960).

1382776512 is an abundant number, since it is smaller than the sum of its proper divisors (2611749408).

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

1382776512 is a wasteful number, since it uses less digits than its factorization.

1382776512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7680 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 1382776512 is about 37185.7030591059. The cubic root of 1382776512 is about 1114.0824459501.

The spelling of 1382776512 in words is "one billion, three hundred eighty-two million, seven hundred seventy-six thousand, five hundred twelve".