625996800 has 792 divisors, whose sum is σ = 2771801760. Its totient is φ = 132710400.

The previous prime is 625996783. The next prime is 625996883. The reversal of 625996800 is 8699526.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×625996800² = 783743987220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 32947191 + ... + 32947209.

Almost surely, 2^625996800 is an apocalyptic number.

625996800 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 625996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385900880).

625996800 is an abundant number, since it is smaller than the sum of its proper divisors (2145804960).

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

625996800 is a wasteful number, since it uses less digits than its factorization.

625996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 625996800 is about 25019.9280574505. The cubic root of 625996800 is about 855.4422663159.

The spelling of 625996800 in words is "six hundred twenty-five million, nine hundred ninety-six thousand, eight hundred".