1316768400 has 720 divisors, whose sum is σ = 5372989440. Its totient is φ = 307929600.

The previous prime is 1316768399. The next prime is 1316768407. The reversal of 1316768400 is 48676131.

1316768400 is a `hidden beast` number, since 131 + 67 + 68 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1316768407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42476385 + ... + 42476415.

Almost surely, 2^1316768400 is an apocalyptic number.

1316768400 is a gapful number since it is divisible by the number (10) 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 1316768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686494720).

1316768400 is an abundant number, since it is smaller than the sum of its proper divisors (4056221040).

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

1316768400 is a wasteful number, since it uses less digits than its factorization.

1316768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1316768400 is about 36287.3035647456. The cubic root of 1316768400 is about 1096.0653920527.

The spelling of 1316768400 in words is "one billion, three hundred sixteen million, seven hundred sixty-eight thousand, four hundred".