712126800 has 540 divisors, whose sum is σ = 3144638016. Its totient is φ = 147571200.

The previous prime is 712126799. The next prime is 712126801. The reversal of 712126800 is 8621217.

It is an interprime number because it is at equal distance from previous prime (712126799) and next prime (712126801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712126801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1940217 + ... + 1940583.

Almost surely, 2^712126800 is an apocalyptic number.

712126800 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 712126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572319008).

712126800 is an abundant number, since it is smaller than the sum of its proper divisors (2432511216).

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

712126800 is a wasteful number, since it uses less digits than its factorization.

712126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

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

The square root of 712126800 is about 26685.7040379301. The cubic root of 712126800 is about 893.0020243673.

The spelling of 712126800 in words is "seven hundred twelve million, one hundred twenty-six thousand, eight hundred".