718400 has 42 divisors (see below), whose sum is σ = 1771650. Its totient is φ = 286720.

The previous prime is 718391. The next prime is 718411. The reversal of 718400 is 4817.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 652864 = 256^2 + 808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

718400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1376 + ... + 1824.

2⁷¹⁸⁴⁰⁰ 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 718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885825).

718400 is an abundant number, since it is smaller than the sum of its proper divisors (1053250).

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

718400 is a wasteful number, since it uses less digits than its factorization.

718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 718400 is about 847.5848040167. The cubic root of 718400 is about 89.5616545103.

The spelling of 718400 in words is "seven hundred eighteen thousand, four hundred".