257827780 has 96 divisors (see below), whose sum is σ = 661118976. Its totient is φ = 82446336.

The previous prime is 257827771. The next prime is 257827789. The reversal of 257827780 is 87728752.

It is an interprime number because it is at equal distance from previous prime (257827771) and next prime (257827789).

It is a self number, because there is not a number n which added to its sum of digits gives 257827780.

It is not an unprimeable number, because it can be changed into a prime (257827789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301834 + ... + 302686.

It is an arithmetic number, because the mean of its divisors is an integer number (6886656).

Almost surely, 2^257827780 is an apocalyptic number.

257827780 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 257827780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330559488).

257827780 is an abundant number, since it is smaller than the sum of its proper divisors (403291196).

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

257827780 is a wasteful number, since it uses less digits than its factorization.

257827780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 46.

The square root of 257827780 is about 16057.0165348361. The cubic root of 257827780 is about 636.4679947466.

The spelling of 257827780 in words is "two hundred fifty-seven million, eight hundred twenty-seven thousand, seven hundred eighty".