712286400 has 672 divisors, whose sum is σ = 2993379840. Its totient is φ = 144506880.

The previous prime is 712286389. The next prime is 712286461. The reversal of 712286400 is 4682217.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16564779 + ... + 16564821.

Almost surely, 2^712286400 is an apocalyptic number.

712286400 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 712286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

712286400 is an abundant number, since it is smaller than the sum of its proper divisors (2281093440).

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

712286400 is a wasteful number, since it uses less digits than its factorization.

712286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 712286400 is about 26688.6942355747. The cubic root of 712286400 is about 893.0687318119.

The spelling of 712286400 in words is "seven hundred twelve million, two hundred eighty-six thousand, four hundred".