712800 has 180 divisors, whose sum is σ = 2835756. Its totient is φ = 172800.

The previous prime is 712781. The next prime is 712807. The reversal of 712800 is 8217.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64795 + ... + 64805.

2⁷¹²⁸⁰⁰ 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 712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417878).

712800 is an abundant number, since it is smaller than the sum of its proper divisors (2122956).

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

712800 is a wasteful number, since it uses less digits than its factorization.

712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 712800 is about 844.2748367682. The cubic root of 712800 is about 89.3283331772.

The spelling of 712800 in words is "seven hundred twelve thousand, eight hundred".