1311379776 has 336 divisors, whose sum is σ = 4564684800. Its totient is φ = 351876096.

The previous prime is 1311379747. The next prime is 1311379777. The reversal of 1311379776 is 6779731131.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311379777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7326055 + ... + 7326233.

Almost surely, 2^1311379776 is an apocalyptic number.

1311379776 is a gapful number since it is divisible by the number (16) 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 1311379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1311379776 is an abundant number, since it is smaller than the sum of its proper divisors (3253305024).

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

1311379776 is a wasteful number, since it uses less digits than its factorization.

1311379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 1311379776 is about 36212.9780051296. The cubic root of 1311379776 is about 1094.5682015506.

The spelling of 1311379776 in words is "one billion, three hundred eleven million, three hundred seventy-nine thousand, seven hundred seventy-six".