716076480 has 448 divisors, whose sum is σ = 2802014208. Its totient is φ = 151388160.

The previous prime is 716076469. The next prime is 716076509. The reversal of 716076480 is 84670617.

716076480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6336904 + ... + 6337016.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2^716076480 is an apocalyptic number.

716076480 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 716076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401007104).

716076480 is an abundant number, since it is smaller than the sum of its proper divisors (2085937728).

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

716076480 is a wasteful number, since it uses less digits than its factorization.

716076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 716076480 is about 26759.6053782562. The cubic root of 716076480 is about 894.6499385225.

It can be divided in two parts, 71607 and 6480, that added together give a palindrome (78087).

The spelling of 716076480 in words is "seven hundred sixteen million, seventy-six thousand, four hundred eighty".