718800 has 60 divisors (see below), whose sum is σ = 2306400. Its totient is φ = 191360.

The previous prime is 718759. The next prime is 718801. The reversal of 718800 is 8817.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (718801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

2⁷¹⁸⁸⁰⁰ 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 718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153200).

718800 is an abundant number, since it is smaller than the sum of its proper divisors (1587600).

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

718800 is a wasteful number, since it uses less digits than its factorization.

718800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 718800 is about 847.8207357691. The cubic root of 718800 is about 89.5782738564.

The spelling of 718800 in words is "seven hundred eighteen thousand, eight hundred".