682228800 has 504 divisors, whose sum is σ = 2726923680. Its totient is φ = 160358400.

The previous prime is 682228747. The next prime is 682228823. The reversal of 682228800 is 8822286.

It is a super-2 number, since 2×682228800² = 930872271098880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9345564 + ... + 9345636.

Almost surely, 2^682228800 is an apocalyptic number.

682228800 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 682228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363461840).

682228800 is an abundant number, since it is smaller than the sum of its proper divisors (2044694880).

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

682228800 is a wasteful number, since it uses less digits than its factorization.

682228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 682228800 is about 26119.5099494611. The cubic root of 682228800 is about 880.3256370615.

The spelling of 682228800 in words is "six hundred eighty-two million, two hundred twenty-eight thousand, eight hundred".