1307760048 has 120 divisors (see below), whose sum is σ = 4317787136. Its totient is φ = 361584000.

The previous prime is 1307759993. The next prime is 1307760053. The reversal of 1307760048 is 8400677031.

1307760048 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 7 + 600 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1307759994 and 1307760021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10323 + ... + 52173.

Almost surely, 2^1307760048 is an apocalyptic number.

1307760048 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 1307760048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158893568).

1307760048 is an abundant number, since it is smaller than the sum of its proper divisors (3010027088).

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

1307760048 is a wasteful number, since it uses less digits than its factorization.

1307760048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41903 (or 41894 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1307760048 is about 36162.9651439148. The cubic root of 1307760048 is about 1093.5601817946.

The spelling of 1307760048 in words is "one billion, three hundred seven million, seven hundred sixty thousand, forty-eight".