256798080 has 512 divisors, whose sum is σ = 1139788800. Its totient is φ = 53084160.

The previous prime is 256798067. The next prime is 256798097. The reversal of 256798080 is 80897652.

256798080 = T₂₁ + T₂₂ + ... + T₁₁₅₄.

256798080 is a `hidden beast` number, since 2 + 567 + 9 + 8 + 0 + 80 = 666.

256798080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330464 + ... + 1330656.

It is an arithmetic number, because the mean of its divisors is an integer number (2226150).

Almost surely, 2^256798080 is an apocalyptic number.

256798080 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 256798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569894400).

256798080 is an abundant number, since it is smaller than the sum of its proper divisors (882990720).

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

256798080 is a wasteful number, since it uses less digits than its factorization.

256798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 256798080 is about 16024.9205926270. The cubic root of 256798080 is about 635.6195660033.

The spelling of 256798080 in words is "two hundred fifty-six million, seven hundred ninety-eight thousand, eighty".