7716712080 has 960 divisors, whose sum is σ = 33526068480. Its totient is φ = 1457111040.

The previous prime is 7716712067. The next prime is 7716712093. The reversal of 7716712080 is 802176177.

It is an interprime number because it is at equal distance from previous prime (7716712067) and next prime (7716712093).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266093506 + ... + 266093534.

It is an arithmetic number, because the mean of its divisors is an integer number (34922988).

Almost surely, 2^7716712080 is an apocalyptic number.

7716712080 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 7716712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763034240).

7716712080 is an abundant number, since it is smaller than the sum of its proper divisors (25809356400).

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

7716712080 is a wasteful number, since it uses less digits than its factorization.

7716712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 7716712080 is about 87844.8181738684. The cubic root of 7716712080 is about 1976.1084056531.

The spelling of 7716712080 in words is "seven billion, seven hundred sixteen million, seven hundred twelve thousand, eighty".