1307796480 has 264 divisors, whose sum is σ = 4592632824. Its totient is φ = 344064000.

The previous prime is 1307796461. The next prime is 1307796509. The reversal of 1307796480 is 846977031.

1307796480 is a `hidden beast` number, since 13 + 0 + 77 + 96 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548683776 + 759112704 = 23424^2 + 27552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4653940 + ... + 4654220.

Almost surely, 2^1307796480 is an apocalyptic number.

1307796480 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 1307796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296316412).

1307796480 is an abundant number, since it is smaller than the sum of its proper divisors (3284836344).

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

1307796480 is a wasteful number, since it uses less digits than its factorization.

1307796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1307796480 is about 36163.4688601633. The cubic root of 1307796480 is about 1093.5703366173.

The spelling of 1307796480 in words is "one billion, three hundred seven million, seven hundred ninety-six thousand, four hundred eighty".