256750080 has 160 divisors (see below), whose sum is σ = 831428928. Its totient is φ = 67584000.

The previous prime is 256750069. The next prime is 256750103. The reversal of 256750080 is 80057652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775515 + ... + 775845.

Almost surely, 2^256750080 is an apocalyptic number.

256750080 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 256750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415714464).

256750080 is an abundant number, since it is smaller than the sum of its proper divisors (574678848).

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

256750080 is a wasteful number, since it uses less digits than its factorization.

256750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 256750080 is about 16023.4228553078. The cubic root of 256750080 is about 635.5799607743.

The spelling of 256750080 in words is "two hundred fifty-six million, seven hundred fifty thousand, eighty".