712212480 has 512 divisors, whose sum is σ = 3019852800. Its totient is φ = 155713536.

The previous prime is 712212461. The next prime is 712212481. The reversal of 712212480 is 84212217.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712212481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965749 + ... + 30965771.

It is an arithmetic number, because the mean of its divisors is an integer number (5898150).

Almost surely, 2^712212480 is an apocalyptic number.

712212480 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 712212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509926400).

712212480 is an abundant number, since it is smaller than the sum of its proper divisors (2307640320).

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

712212480 is an equidigital number, since it uses as much as digits as its factorization.

712212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 712212480 is about 26687.3093435813. The cubic root of 712212480 is about 893.0378369712.

Adding to 712212480 its reverse (84212217), we get a palindrome (796424697).

The spelling of 712212480 in words is "seven hundred twelve million, two hundred twelve thousand, four hundred eighty".