711985680 has 480 divisors, whose sum is σ = 2955168000. Its totient is φ = 157489920.

The previous prime is 711985643. The next prime is 711985693. The reversal of 711985680 is 86589117.

711985680 is a `hidden beast` number, since 71 + 19 + 8 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22967265 + ... + 22967295.

It is an arithmetic number, because the mean of its divisors is an integer number (6156600).

Almost surely, 2^711985680 is an apocalyptic number.

711985680 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 711985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477584000).

711985680 is an abundant number, since it is smaller than the sum of its proper divisors (2243182320).

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

711985680 is a wasteful number, since it uses less digits than its factorization.

711985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 711985680 is about 26683.0597945588. The cubic root of 711985680 is about 892.9430326395.

The spelling of 711985680 in words is "seven hundred eleven million, nine hundred eighty-five thousand, six hundred eighty".