257796000 has 768 divisors, whose sum is σ = 1207664640. Its totient is φ = 51840000.

The previous prime is 257795977. The next prime is 257796001. The reversal of 257796000 is 697752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257796001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8315985 + ... + 8316015.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^257796000 is an apocalyptic number.

257796000 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 257796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

257796000 is an abundant number, since it is smaller than the sum of its proper divisors (949868640).

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

257796000 is a wasteful number, since it uses less digits than its factorization.

257796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 257796000 is about 16056.0269058071. The cubic root of 257796000 is about 636.4418432021.

The spelling of 257796000 in words is "two hundred fifty-seven million, seven hundred ninety-six thousand".