1312800768 has 180 divisors, whose sum is σ = 3935972040. Its totient is φ = 421134336.

The previous prime is 1312800767. The next prime is 1312800773. The reversal of 1312800768 is 8670082131.

It is a super-2 number, since 2×1312800768² = 3446891712922779648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312800767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4276071 + ... + 4276377.

Almost surely, 2^1312800768 is an apocalyptic number.

1312800768 is a gapful number since it is divisible by the number (18) 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 1312800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967986020).

1312800768 is an abundant number, since it is smaller than the sum of its proper divisors (2623171272).

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

1312800768 is an equidigital number, since it uses as much as digits as its factorization.

1312800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1312800768 is about 36232.5926204571. The cubic root of 1312800768 is about 1094.9634115503.

Adding to 1312800768 its reverse (8670082131), we get a palindrome (9982882899).

The spelling of 1312800768 in words is "one billion, three hundred twelve million, eight hundred thousand, seven hundred sixty-eight".