712000800 has 576 divisors, whose sum is σ = 3127299840. Its totient is φ = 152616960.

The previous prime is 712000771. The next prime is 712000831. The reversal of 712000800 is 8000217.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570262 + ... + 2570538.

It is an arithmetic number, because the mean of its divisors is an integer number (5429340).

Almost surely, 2^712000800 is an apocalyptic number.

712000800 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 712000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563649920).

712000800 is an abundant number, since it is smaller than the sum of its proper divisors (2415299040).

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

712000800 is a wasteful number, since it uses less digits than its factorization.

712000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

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

The square root of 712000800 is about 26683.3431188822. The cubic root of 712000800 is about 892.9493535546.

The spelling of 712000800 in words is "seven hundred twelve million, eight hundred", and thus it is an aban number.