622120800 has 288 divisors, whose sum is σ = 2437344000. Its totient is φ = 134645760.

The previous prime is 622120787. The next prime is 622120817. The reversal of 622120800 is 8021226.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 318226 + ... + 320174.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^622120800 is an apocalyptic number.

622120800 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 622120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

622120800 is an abundant number, since it is smaller than the sum of its proper divisors (1815223200).

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

622120800 is a wasteful number, since it uses less digits than its factorization.

622120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 622120800 is about 24942.3495284626. The cubic root of 622120800 is about 853.6730553814.

The spelling of 622120800 in words is "six hundred twenty-two million, one hundred twenty thousand, eight hundred".