260978760 has 320 divisors, whose sum is σ = 1032894720. Its totient is φ = 57853440.

The previous prime is 260978741. The next prime is 260978779. The reversal of 260978760 is 67879062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (260978741) and next prime (260978779).

It is a super-3 number, since 3×260978760³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 839005 + ... + 839315.

It is an arithmetic number, because the mean of its divisors is an integer number (3227796).

Almost surely, 2^260978760 is an apocalyptic number.

260978760 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 260978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516447360).

260978760 is an abundant number, since it is smaller than the sum of its proper divisors (771915960).

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

260978760 is a wasteful number, since it uses less digits than its factorization.

260978760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 260978760 is about 16154.8370465319. The cubic root of 260978760 is about 639.0503167414.

The spelling of 260978760 in words is "two hundred sixty million, nine hundred seventy-eight thousand, seven hundred sixty".