260756000 has 192 divisors, whose sum is σ = 698181120. Its totient is φ = 95385600.

The previous prime is 260755993. The next prime is 260756009. The reversal of 260756000 is 657062.

It is not an unprimeable number, because it can be changed into a prime (260756009) 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, 3571964 + ... + 3572036.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360).

Almost surely, 2^260756000 is an apocalyptic number.

260756000 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 260756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

260756000 is an abundant number, since it is smaller than the sum of its proper divisors (437425120).

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

260756000 is a wasteful number, since it uses less digits than its factorization.

260756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 260756000 is about 16147.9410452231. The cubic root of 260756000 is about 638.8684432300.

The spelling of 260756000 in words is "two hundred sixty million, seven hundred fifty-six thousand".