712805940 has 576 divisors, whose sum is σ = 2941747200. Its totient is φ = 141523200.

The previous prime is 712805939. The next prime is 712805959. The reversal of 712805940 is 49508217.

712805940 is digitally balanced in base 2 and base 6, because in such bases 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 = 712805895 and 712805904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9022821 + ... + 9022899.

It is an arithmetic number, because the mean of its divisors is an integer number (5107200).

Almost surely, 2^712805940 is an apocalyptic number.

712805940 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 712805940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

712805940 is an abundant number, since it is smaller than the sum of its proper divisors (2228941260).

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

712805940 is a wasteful number, since it uses less digits than its factorization.

712805940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

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

The square root of 712805940 is about 26698.4257962899. The cubic root of 712805940 is about 893.2858131080.

The spelling of 712805940 in words is "seven hundred twelve million, eight hundred five thousand, nine hundred forty".