712804960 has 288 divisors, whose sum is σ = 2109784320. Its totient is φ = 226372608.

The previous prime is 712804957. The next prime is 712804987. The reversal of 712804960 is 69408217.

It is a super-2 number, since 2×712804960² = 1016181822001203200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10638847 + ... + 10638913.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^712804960 is an apocalyptic number.

712804960 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 712804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

712804960 is an abundant number, since it is smaller than the sum of its proper divisors (1396979360).

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

712804960 is a wasteful number, since it uses less digits than its factorization.

712804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 712804960 is about 26698.4074431416. The cubic root of 712804960 is about 893.2854037303.

The spelling of 712804960 in words is "seven hundred twelve million, eight hundred four thousand, nine hundred sixty".