255376800 has 360 divisors, whose sum is σ = 1066244256. Its totient is φ = 58268160.

The previous prime is 255376789. The next prime is 255376801. The reversal of 255376800 is 8673552.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (255376801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453319 + ... + 453881.

Almost surely, 2^255376800 is an apocalyptic number.

255376800 is a gapful number since it is divisible by the number (20) 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 255376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533122128).

255376800 is an abundant number, since it is smaller than the sum of its proper divisors (810867456).

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

255376800 is a wasteful number, since it uses less digits than its factorization.

255376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 255376800 is about 15980.5131331882. The cubic root of 255376800 is about 634.4447581971. Note that the first 3 decimals are identical.

The spelling of 255376800 in words is "two hundred fifty-five million, three hundred seventy-six thousand, eight hundred".