718848000 has 480 divisors, whose sum is σ = 2862525120. Its totient is φ = 176947200.

The previous prime is 718847999. The next prime is 718848001. The reversal of 718848000 is 848817.

It is an interprime number because it is at equal distance from previous prime (718847999) and next prime (718848001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (718848001) 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, 55295994 + ... + 55296006.

It is an arithmetic number, because the mean of its divisors is an integer number (5963594).

Almost surely, 2^718848000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431262560).

718848000 is an abundant number, since it is smaller than the sum of its proper divisors (2143677120).

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

718848000 is an equidigital number, since it uses as much as digits as its factorization.

718848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 718848000 is about 26811.3408840364. The cubic root of 718848000 is about 895.8026776361.

The spelling of 718848000 in words is "seven hundred eighteen million, eight hundred forty-eight thousand".