257680000 has 80 divisors (see below), whose sum is σ = 641677410. Its totient is φ = 103040000.

The previous prime is 257679943. The next prime is 257680021. The reversal of 257680000 is 86752.

257680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 16064064 + 241615936 = 4008^2 + 15544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78390 + ... + 81610.

Almost surely, 2^257680000 is an apocalyptic number.

257680000 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 257680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320838705).

257680000 is an abundant number, since it is smaller than the sum of its proper divisors (383997410).

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

257680000 is an frugal number, since it uses more digits than its factorization.

257680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 257680000 is about 16052.4141486569. The cubic root of 257680000 is about 636.3463693521.

The spelling of 257680000 in words is "two hundred fifty-seven million, six hundred eighty thousand".