655300800 has 672 divisors, whose sum is σ = 2993379840. Its totient is φ = 135475200.

The previous prime is 655300783. The next prime is 655300829. The reversal of 655300800 is 8003556.

655300800 is a `hidden beast` number, since 655 + 3 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326302 + ... + 3326498.

Almost surely, 2^655300800 is an apocalyptic number.

655300800 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 655300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

655300800 is an abundant number, since it is smaller than the sum of its proper divisors (2338079040).

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

655300800 is a wasteful number, since it uses less digits than its factorization.

655300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 655300800 is about 25598.8437238872. The cubic root of 655300800 is about 868.5874819781.

It can be divided in two parts, 655300 and 800, that added together give a square (656100 = 810²).

The spelling of 655300800 in words is "six hundred fifty-five million, three hundred thousand, eight hundred".