712840 has 32 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 280000.

The previous prime is 712837. The next prime is 712841. The reversal of 712840 is 48217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2715 + ... + 2965.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁷¹²⁸⁴⁰ 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 712840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

712840 is an abundant number, since it is smaller than the sum of its proper divisors (920120).

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

712840 is a wasteful number, since it uses less digits than its factorization.

712840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 712840 is about 844.2985254044. The cubic root of 712840 is about 89.3300040837.

The spelling of 712840 in words is "seven hundred twelve thousand, eight hundred forty".