255790800 has 180 divisors, whose sum is σ = 909840204. Its totient is φ = 66508800.

The previous prime is 255790793. The next prime is 255790807. The reversal of 255790800 is 8097552.

255790800 is a `hidden beast` number, since 2 + 5 + 579 + 0 + 80 + 0 = 666.

255790800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255790793) and next prime (255790807).

It can be written as a sum of positive squares in 6 ways, for example, as 48776256 + 207014544 = 6984^2 + 14388^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255790807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146734 + ... + 148466.

Almost surely, 2^255790800 is an apocalyptic number.

255790800 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 255790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454920102).

255790800 is an abundant number, since it is smaller than the sum of its proper divisors (654049404).

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

255790800 is a wasteful number, since it uses less digits than its factorization.

255790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 255790800 is about 15993.4611638632. The cubic root of 255790800 is about 634.7874130792.

The spelling of 255790800 in words is "two hundred fifty-five million, seven hundred ninety thousand, eight hundred".