716800 has 78 divisors (see below), whose sum is σ = 2031368. Its totient is φ = 245760.

The previous prime is 716789. The next prime is 716809. The reversal of 716800 is 8617.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102397 + ... + 102403.

2⁷¹⁶⁸⁰⁰ is an apocalyptic number.

716800 is a gapful number since it is divisible by the number (70) 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 716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015684).

716800 is an abundant number, since it is smaller than the sum of its proper divisors (1314568).

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

716800 is an equidigital number, since it uses as much as digits as its factorization.

716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 716800 is about 846.6404195407. The cubic root of 716800 is about 89.4951153665.

It can be divided in two parts, 7 and 16800, that added together give a 5-th power (16807 = 7⁵).

The spelling of 716800 in words is "seven hundred sixteen thousand, eight hundred".