1376706816 has 81 divisors (see below), whose sum is σ = 3974526829. Its totient is φ = 458308608.

The previous prime is 1376706811. The next prime is 1376706823. The reversal of 1376706816 is 6186076731.

The square root of 1376706816 is 37104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 1289097216 = 9360^2 + 35904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1376706811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1780606 + ... + 1781378.

Almost surely, 2^1376706816 is an apocalyptic number.

1376706816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1376706816 is the 37104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376706816

1376706816 is an abundant number, since it is smaller than the sum of its proper divisors (2597820013).

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

1376706816 is an frugal number, since it uses more digits than its factorization.

1376706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 1376706816 is about 1112.4499671309.

Multiplying 1376706816 by its product of nonzero digits (254016), we get a square (349705558573056 = 18700416²).

It can be divided in two parts, 137 and 6706816, that added together give a triangular number (6706953 = T₃₆₆₂).

The spelling of 1376706816 in words is "one billion, three hundred seventy-six million, seven hundred six thousand, eight hundred sixteen".