1307630080 has 40 divisors (see below), whose sum is σ = 3135253572. Its totient is φ = 523051008.

The previous prime is 1307630069. The next prime is 1307630081. The reversal of 1307630080 is 800367031.

It can be written as a sum of positive squares in 2 ways, for example, as 1285652736 + 21977344 = 35856^2 + 4688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1307630080² = 3419792852241612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1307630081) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 252837 + ... + 257956.

Almost surely, 2^1307630080 is an apocalyptic number.

1307630080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307630080 is an abundant number, since it is smaller than the sum of its proper divisors (1827623492).

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

1307630080 is an frugal number, since it uses more digits than its factorization.

1307630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510816 (or 510800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1307630080 is about 36161.1681227252. The cubic root of 1307630080 is about 1093.5239538085.

The spelling of 1307630080 in words is "one billion, three hundred seven million, six hundred thirty thousand, eighty".