712895040 has 448 divisors, whose sum is σ = 2959729920. Its totient is φ = 159252480.

The previous prime is 712894961. The next prime is 712895047. The reversal of 712895040 is 40598217.

712895040 is a `hidden beast` number, since 71 + 2 + 89 + 504 + 0 = 666.

712895040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 712894986 and 712895004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712895047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235232 + ... + 1235808.

It is an arithmetic number, because the mean of its divisors is an integer number (6606540).

Almost surely, 2^712895040 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 712895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479864960).

712895040 is an abundant number, since it is smaller than the sum of its proper divisors (2246834880).

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

712895040 is a wasteful number, since it uses less digits than its factorization.

712895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 712895040 is about 26700.0943818557. The cubic root of 712895040 is about 893.3230314893.

The spelling of 712895040 in words is "seven hundred twelve million, eight hundred ninety-five thousand, forty".