716125000 has 112 divisors (see below), whose sum is σ = 1782399060. Its totient is φ = 268800000.

The previous prime is 716124989. The next prime is 716125009. The reversal of 716125000 is 521617.

716125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 613751076 + 102373924 = 24774^2 + 10118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716125009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2124832 + ... + 2125168.

Almost surely, 2^716125000 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 716125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891199530).

716125000 is an abundant number, since it is smaller than the sum of its proper divisors (1066274060).

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

716125000 is an equidigital number, since it uses as much as digits as its factorization.

716125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 716125000 is about 26760.5119532493. The cubic root of 716125000 is about 894.6701446670.

Adding to 716125000 its reverse (521617), we get a palindrome (716646617).

The spelling of 716125000 in words is "seven hundred sixteen million, one hundred twenty-five thousand".