1380768768 has 264 divisors, whose sum is σ = 4291822080. Its totient is φ = 442920960.

The previous prime is 1380768761. The next prime is 1380768769. The reversal of 1380768768 is 8678670831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380768761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7713703 + ... + 7713881.

Almost surely, 2^1380768768 is an apocalyptic number.

1380768768 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 1380768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145911040).

1380768768 is an abundant number, since it is smaller than the sum of its proper divisors (2911053312).

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

1380768768 is an equidigital number, since it uses as much as digits as its factorization.

1380768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1380768768 is about 37158.6970708070. The cubic root of 1380768768 is about 1113.5429816228.

The spelling of 1380768768 in words is "one billion, three hundred eighty million, seven hundred sixty-eight thousand, seven hundred sixty-eight".