711973680 has 120 divisors (see below), whose sum is σ = 2426105136. Its totient is φ = 172592640.

The previous prime is 711973667. The next prime is 711973687. The reversal of 711973680 is 86379117.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (711973687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16782 + ... + 41298.

Almost surely, 2^711973680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213052568).

711973680 is an abundant number, since it is smaller than the sum of its proper divisors (1714131456).

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

711973680 is a wasteful number, since it uses less digits than its factorization.

711973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555 (or 24538 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 711973680 is about 26682.8349318434. The cubic root of 711973680 is about 892.9380159766.

The spelling of 711973680 in words is "seven hundred eleven million, nine hundred seventy-three thousand, six hundred eighty".