712126080 has 384 divisors, whose sum is σ = 2695492800. Its totient is φ = 179159040.

The previous prime is 712126067. The next prime is 712126081. The reversal of 712126080 is 80621217.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (712126081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954760 + ... + 2955000.

Almost surely, 2^712126080 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 712126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347746400).

712126080 is an abundant number, since it is smaller than the sum of its proper divisors (1983366720).

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

712126080 is a wasteful number, since it uses less digits than its factorization.

712126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 712126080 is about 26685.6905475575. The cubic root of 712126080 is about 893.0017234089.

Adding to 712126080 its reverse (80621217), we get a palindrome (792747297).

The spelling of 712126080 in words is "seven hundred twelve million, one hundred twenty-six thousand, eighty".