255878784 has 192 divisors, whose sum is σ = 879076800. Its totient is φ = 73059840.

The previous prime is 255878783. The next prime is 255878801. The reversal of 255878784 is 487878552.

255878784 is a `hidden beast` number, since 2 + 558 + 7 + 8 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 255878784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255878783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168589 + ... + 170099.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^255878784 is an apocalyptic number.

255878784 is a gapful number since it is divisible by the number (24) 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 255878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

255878784 is an abundant number, since it is smaller than the sum of its proper divisors (623198016).

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

255878784 is a wasteful number, since it uses less digits than its factorization.

255878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1523 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The square root of 255878784 is about 15996.2115514893. The cubic root of 255878784 is about 634.8601870456.

The spelling of 255878784 in words is "two hundred fifty-five million, eight hundred seventy-eight thousand, seven hundred eighty-four".