712808096 has 324 divisors, whose sum is σ = 2052737694. Its totient is φ = 241274880.

The previous prime is 712808069. The next prime is 712808099. The reversal of 712808096 is 690808217.

It can be written as a sum of positive squares in 3 ways, for example, as 653518096 + 59290000 = 25564^2 + 7700^2 .

It is not an unprimeable number, because it can be changed into a prime (712808099) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41929880 + ... + 41929896.

Almost surely, 2^712808096 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 712808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026368847).

712808096 is an abundant number, since it is smaller than the sum of its proper divisors (1339929598).

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

712808096 is a wasteful number, since it uses less digits than its factorization.

712808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 712808096 is about 26698.4661731718. The cubic root of 712808096 is about 893.2867137375.

It can be divided in two parts, 712 and 808096, that added together give a palindrome (808808).

The spelling of 712808096 in words is "seven hundred twelve million, eight hundred eight thousand, ninety-six".