712538400 has 432 divisors, whose sum is σ = 2767885344. Its totient is φ = 158699520.

The previous prime is 712538389. The next prime is 712538417. The reversal of 712538400 is 4835217.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8584759 + ... + 8584841.

It is an arithmetic number, because the mean of its divisors is an integer number (6407142).

Almost surely, 2^712538400 is an apocalyptic number.

712538400 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 712538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383942672).

712538400 is an abundant number, since it is smaller than the sum of its proper divisors (2055346944).

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

712538400 is a wasteful number, since it uses less digits than its factorization.

712538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 712538400 is about 26693.4149182902. The cubic root of 712538400 is about 893.1740390708.

The spelling of 712538400 in words is "seven hundred twelve million, five hundred thirty-eight thousand, four hundred".