712342400 has 384 divisors, whose sum is σ = 2276640000. Its totient is φ = 218265600.

The previous prime is 712342391. The next prime is 712342403. The reversal of 712342400 is 4243217.

712342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712342403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12073571 + ... + 12073629.

It is an arithmetic number, because the mean of its divisors is an integer number (5928750).

Almost surely, 2^712342400 is an apocalyptic number.

712342400 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 712342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320000).

712342400 is an abundant number, since it is smaller than the sum of its proper divisors (1564297600).

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

712342400 is a wasteful number, since it uses less digits than its factorization.

712342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 712342400 is about 26689.7433483351. The cubic root of 712342400 is about 893.0921355712.

Adding to 712342400 its reverse (4243217), we get a palindrome (716585617).

The spelling of 712342400 in words is "seven hundred twelve million, three hundred forty-two thousand, four hundred".