711856320 has 336 divisors, whose sum is σ = 2706806880. Its totient is φ = 157925376.

The previous prime is 711856231. The next prime is 711856339. The reversal of 711856320 is 23658117.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1740276 + ... + 1740684.

Almost surely, 2^711856320 is an apocalyptic number.

711856320 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 711856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353403440).

711856320 is an abundant number, since it is smaller than the sum of its proper divisors (1994950560).

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

711856320 is a wasteful number, since it uses less digits than its factorization.

711856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 711856320 is about 26680.6356745862. The cubic root of 711856320 is about 892.8889500410. Note that the first 3 decimals are identical.

The spelling of 711856320 in words is "seven hundred eleven million, eight hundred fifty-six thousand, three hundred twenty".