712506080 has 288 divisors, whose sum is σ = 2111508000. Its totient is φ = 225054720.

The previous prime is 712506079. The next prime is 712506097. The reversal of 712506080 is 80605217.

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, 4781846 + ... + 4781994.

It is an arithmetic number, because the mean of its divisors is an integer number (7331625).

Almost surely, 2^712506080 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 712506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055754000).

712506080 is an abundant number, since it is smaller than the sum of its proper divisors (1399001920).

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

712506080 is a wasteful number, since it uses less digits than its factorization.

712506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 712506080 is about 26692.8095186700. The cubic root of 712506080 is about 893.1605343851.

The spelling of 712506080 in words is "seven hundred twelve million, five hundred six thousand, eighty".