1300416768 has 540 divisors, whose sum is σ = 4859421952. Its totient is φ = 338411520.

The previous prime is 1300416749. The next prime is 1300416779. The reversal of 1300416768 is 8676140031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41948913 + ... + 41948943.

Almost surely, 2^1300416768 is an apocalyptic number.

1300416768 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 1300416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429710976).

1300416768 is an abundant number, since it is smaller than the sum of its proper divisors (3559005184).

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

1300416768 is an equidigital number, since it uses as much as digits as its factorization.

1300416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

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

The square root of 1300416768 is about 36061.2918237825. The cubic root of 1300416768 is about 1091.5095007611.

Adding to 1300416768 its reverse (8676140031), we get a palindrome (9976556799).

The spelling of 1300416768 in words is "one billion, three hundred million, four hundred sixteen thousand, seven hundred sixty-eight".