625312800 has 432 divisors, whose sum is σ = 2656704960. Its totient is φ = 135198720.

The previous prime is 625312789. The next prime is 625312801. The reversal of 625312800 is 8213526.

625312800 is a `hidden beast` number, since 625 + 31 + 2 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (625312801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957274 + ... + 957926.

It is an arithmetic number, because the mean of its divisors is an integer number (6149780).

Almost surely, 2^625312800 is an apocalyptic number.

625312800 is a gapful number since it is divisible by the number (60) 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 625312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328352480).

625312800 is an abundant number, since it is smaller than the sum of its proper divisors (2031392160).

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

625312800 is a wasteful number, since it uses less digits than its factorization.

625312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 625312800 is about 25006.2552174451. The cubic root of 625312800 is about 855.1305843433.

The spelling of 625312800 in words is "six hundred twenty-five million, three hundred twelve thousand, eight hundred".