712808640 has 448 divisors, whose sum is σ = 2791480320. Its totient is φ = 170311680.

The previous prime is 712808567. The next prime is 712808659. The reversal of 712808640 is 46808217.

712808640 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 712808595 and 712808604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3378135 + ... + 3378345.

Almost surely, 2^712808640 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 712808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395740160).

712808640 is an abundant number, since it is smaller than the sum of its proper divisors (2078671680).

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

712808640 is a wasteful number, since it uses less digits than its factorization.

712808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 712808640 is about 26698.4763610211. The cubic root of 712808640 is about 893.2869409833.

The spelling of 712808640 in words is "seven hundred twelve million, eight hundred eight thousand, six hundred forty".