712812240 has 240 divisors, whose sum is σ = 2752109568. Its totient is φ = 161961984.

The previous prime is 712812187. The next prime is 712812259. The reversal of 712812240 is 42218217.

712812240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174017 + ... + 1174623.

Almost surely, 2^712812240 is an apocalyptic number.

712812240 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 712812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376054784).

712812240 is an abundant number, since it is smaller than the sum of its proper divisors (2039297328).

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

712812240 is a wasteful number, since it uses less digits than its factorization.

712812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 712812240 is about 26698.5437805136. The cubic root of 712812240 is about 893.2884448126.

The spelling of 712812240 in words is "seven hundred twelve million, eight hundred twelve thousand, two hundred forty".