716825160 has 256 divisors, whose sum is σ = 2542176000. Its totient is φ = 179159040.

The previous prime is 716825129. The next prime is 716825167. The reversal of 716825160 is 61528617.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (716825167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714024 + ... + 3714216.

It is an arithmetic number, because the mean of its divisors is an integer number (9930375).

Almost surely, 2^716825160 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 716825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271088000).

716825160 is an abundant number, since it is smaller than the sum of its proper divisors (1825350840).

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

716825160 is a wasteful number, since it uses less digits than its factorization.

716825160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 716825160 is about 26773.5907192143. The cubic root of 716825160 is about 894.9616246043.

The spelling of 716825160 in words is "seven hundred sixteen million, eight hundred twenty-five thousand, one hundred sixty".