712401600 has 168 divisors, whose sum is σ = 2352436240. Its totient is φ = 188743680.

The previous prime is 712401593. The next prime is 712401601. The reversal of 712401600 is 6104217.

712401600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (712401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926016 + ... + 926784.

Almost surely, 2^712401600 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 712401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176218120).

712401600 is an abundant number, since it is smaller than the sum of its proper divisors (1640034640).

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

712401600 is a wasteful number, since it uses less digits than its factorization.

712401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 712401600 is about 26690.8523655578. The cubic root of 712401600 is about 893.1168753545.

Adding to 712401600 its reverse (6104217), we get a palindrome (718505817).

The spelling of 712401600 in words is "seven hundred twelve million, four hundred one thousand, six hundred".