7716129120 has 768 divisors, whose sum is σ = 32397926400. Its totient is φ = 1678786560.

The previous prime is 7716129103. The next prime is 7716129149. The reversal of 7716129120 is 219216177.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86698036 + ... + 86698124.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^7716129120 is an apocalyptic number.

7716129120 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 7716129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

7716129120 is an abundant number, since it is smaller than the sum of its proper divisors (24681797280).

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

7716129120 is a wasteful number, since it uses less digits than its factorization.

7716129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 7716129120 is about 87841.4999871928. The cubic root of 7716129120 is about 1976.0586426126.

The spelling of 7716129120 in words is "seven billion, seven hundred sixteen million, one hundred twenty-nine thousand, one hundred twenty".