1307322720 has 576 divisors, whose sum is σ = 5236539840. Its totient is φ = 304128000.

The previous prime is 1307322677. The next prime is 1307322743. The reversal of 1307322720 is 272237031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21431490 + ... + 21431550.

It is an arithmetic number, because the mean of its divisors is an integer number (9091215).

Almost surely, 2^1307322720 is an apocalyptic number.

1307322720 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 1307322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618269920).

1307322720 is an abundant number, since it is smaller than the sum of its proper divisors (3929217120).

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

1307322720 is a wasteful number, since it uses less digits than its factorization.

1307322720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 1307322720 is about 36156.9180102508. The cubic root of 1307322720 is about 1093.4382690610.

Adding to 1307322720 its reverse (272237031), we get a palindrome (1579559751).

The spelling of 1307322720 in words is "one billion, three hundred seven million, three hundred twenty-two thousand, seven hundred twenty".