716437120 has 256 divisors, whose sum is σ = 2167948800. Its totient is φ = 220594176.

The previous prime is 716437109. The next prime is 716437133. The reversal of 716437120 is 21734617.

716437120 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751476 + ... + 1751884.

It is an arithmetic number, because the mean of its divisors is an integer number (8468550).

Almost surely, 2^716437120 is an apocalyptic number.

716437120 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 716437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083974400).

716437120 is an abundant number, since it is smaller than the sum of its proper divisors (1451511680).

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

716437120 is a wasteful number, since it uses less digits than its factorization.

716437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 716437120 is about 26766.3430449511. The cubic root of 716437120 is about 894.8001051656.

The spelling of 716437120 in words is "seven hundred sixteen million, four hundred thirty-seven thousand, one hundred twenty".