716829120 has 504 divisors, whose sum is σ = 2990344032. Its totient is φ = 154275840.

The previous prime is 716829103. The next prime is 716829137. The reversal of 716829120 is 21928617.

716829120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (716829103) and next prime (716829137).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19373742 + ... + 19373778.

Almost surely, 2^716829120 is an apocalyptic number.

716829120 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 716829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495172016).

716829120 is an abundant number, since it is smaller than the sum of its proper divisors (2273514912).

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

716829120 is a wasteful number, since it uses less digits than its factorization.

716829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 716829120 is about 26773.6646725845. The cubic root of 716829120 is about 894.9632726312.

The spelling of 716829120 in words is "seven hundred sixteen million, eight hundred twenty-nine thousand, one hundred twenty".