1307914000 has 80 divisors (see below), whose sum is σ = 3201045120. Its totient is φ = 516796800.

The previous prime is 1307913983. The next prime is 1307914009. The reversal of 1307914000 is 4197031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1307914009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162061 + ... + 169939.

It is an arithmetic number, because the mean of its divisors is an integer number (40013064).

Almost surely, 2^1307914000 is an apocalyptic number.

1307914000 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 1307914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600522560).

1307914000 is an abundant number, since it is smaller than the sum of its proper divisors (1893131120).

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

1307914000 is an equidigital number, since it uses as much as digits as its factorization.

1307914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1307914000 is about 36165.0936677897. The cubic root of 1307914000 is about 1093.6030921056.

The spelling of 1307914000 in words is "one billion, three hundred seven million, nine hundred fourteen thousand".