620752800 has 144 divisors (see below), whose sum is σ = 2127051360. Its totient is φ = 156810240.

The previous prime is 620752763. The next prime is 620752813. The reversal of 620752800 is 8257026.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38794 + ... + 52406.

It is an arithmetic number, because the mean of its divisors is an integer number (14771190).

Almost surely, 2^620752800 is an apocalyptic number.

620752800 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 620752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063525680).

620752800 is an abundant number, since it is smaller than the sum of its proper divisors (1506298560).

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

620752800 is a wasteful number, since it uses less digits than its factorization.

620752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13642 counting only the distinct ones).

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

The square root of 620752800 is about 24914.9111979152. The cubic root of 620752800 is about 853.0468737914.

The spelling of 620752800 in words is "six hundred twenty million, seven hundred fifty-two thousand, eight hundred".