1300734720 has 288 divisors, whose sum is σ = 4699074240. Its totient is φ = 340623360.

The previous prime is 1300734713. The next prime is 1300734727. The reversal of 1300734720 is 274370031.

It is an interprime number because it is at equal distance from previous prime (1300734713) and next prime (1300734727).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1300734727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107852 + ... + 2108468.

It is an arithmetic number, because the mean of its divisors is an integer number (16316230).

Almost surely, 2^1300734720 is an apocalyptic number.

1300734720 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 1300734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349537120).

1300734720 is an abundant number, since it is smaller than the sum of its proper divisors (3398339520).

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

1300734720 is an equidigital number, since it uses as much as digits as its factorization.

1300734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

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

The square root of 1300734720 is about 36065.7000486612. The cubic root of 1300734720 is about 1091.5984515644.

The spelling of 1300734720 in words is "one billion, three hundred million, seven hundred thirty-four thousand, seven hundred twenty".