1305720000 has 700 divisors, whose sum is σ = 5376728896. Its totient is φ = 311040000.

The previous prime is 1305719999. The next prime is 1305720023. The reversal of 1305720000 is 275031.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119985 + ... + 42120015.

Almost surely, 2^1305720000 is an apocalyptic number.

1305720000 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 1305720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688364448).

1305720000 is an abundant number, since it is smaller than the sum of its proper divisors (4071008896).

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

1305720000 is an equidigital number, since it uses as much as digits as its factorization.

1305720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1305720000 is about 36134.7478197925. The cubic root of 1305720000 is about 1092.9912506376.

Adding to 1305720000 its reverse (275031), we get a palindrome (1305995031).

The spelling of 1305720000 in words is "one billion, three hundred five million, seven hundred twenty thousand".