716024000 has 224 divisors, whose sum is σ = 1897197120. Its totient is φ = 267264000.

The previous prime is 716023981. The next prime is 716024009. The reversal of 716024000 is 420617.

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

It is not an unprimeable number, because it can be changed into a prime (716024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12135971 + ... + 12136029.

It is an arithmetic number, because the mean of its divisors is an integer number (8469630).

Almost surely, 2^716024000 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 716024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

716024000 is an abundant number, since it is smaller than the sum of its proper divisors (1181173120).

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

716024000 is a wasteful number, since it uses less digits than its factorization.

716024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 716024000 is about 26758.6247778170. The cubic root of 716024000 is about 894.6280822091.

Adding to 716024000 its reverse (420617), we get a palindrome (716444617).

The spelling of 716024000 in words is "seven hundred sixteen million, twenty-four thousand".