1307734120 has 192 divisors, whose sum is σ = 3826569600. Its totient is φ = 393550080.

The previous prime is 1307734117. The next prime is 1307734121. The reversal of 1307734120 is 214377031.

It is a super-2 number, since 2×1307734120² = 3420337057224348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307734121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45094266 + ... + 45094294.

It is an arithmetic number, because the mean of its divisors is an integer number (19930050).

Almost surely, 2^1307734120 is an apocalyptic number.

1307734120 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 1307734120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913284800).

1307734120 is an abundant number, since it is smaller than the sum of its proper divisors (2518835480).

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

1307734120 is an frugal number, since it uses more digits than its factorization.

1307734120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1307734120 is about 36162.6066538351. The cubic root of 1307734120 is about 1093.5529546747.

The spelling of 1307734120 in words is "one billion, three hundred seven million, seven hundred thirty-four thousand, one hundred twenty".