716378880 has 288 divisors, whose sum is σ = 2707891200. Its totient is φ = 157925376.

The previous prime is 716378821. The next prime is 716378921. The reversal of 716378880 is 88873617.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779061 + ... + 779979.

It is an arithmetic number, because the mean of its divisors is an integer number (9402400).

Almost surely, 2^716378880 is an apocalyptic number.

716378880 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 716378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353945600).

716378880 is an abundant number, since it is smaller than the sum of its proper divisors (1991512320).

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

716378880 is a wasteful number, since it uses less digits than its factorization.

716378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 716378880 is about 26765.2550893878. The cubic root of 716378880 is about 894.7758580643.

The spelling of 716378880 in words is "seven hundred sixteen million, three hundred seventy-eight thousand, eight hundred eighty".