712405760 has 144 divisors (see below), whose sum is σ = 1960277760. Its totient is φ = 245329920.

The previous prime is 712405717. The next prime is 712405777. The reversal of 712405760 is 67504217.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 266189 + ... + 268851.

It is an arithmetic number, because the mean of its divisors is an integer number (13613040).

Almost surely, 2^712405760 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 712405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980138880).

712405760 is an abundant number, since it is smaller than the sum of its proper divisors (1247872000).

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

712405760 is a wasteful number, since it uses less digits than its factorization.

712405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 712405760 is about 26690.9302947649. The cubic root of 712405760 is about 893.1186137742.

Adding to 712405760 its reverse (67504217), we get a palindrome (779909977).

The spelling of 712405760 in words is "seven hundred twelve million, four hundred five thousand, seven hundred sixty".