260789760 has 640 divisors, whose sum is σ = 1178496000. Its totient is φ = 54190080.

The previous prime is 260789747. The next prime is 260789761. The reversal of 260789760 is 67987062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×260789760² = 136022597841715200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260789761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23708155 + ... + 23708165.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^260789760 is an apocalyptic number.

260789760 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 260789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248000).

260789760 is an abundant number, since it is smaller than the sum of its proper divisors (917706240).

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

260789760 is an equidigital number, since it uses as much as digits as its factorization.

260789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

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

The square root of 260789760 is about 16148.9863458980. The cubic root of 260789760 is about 638.8960134079.

The spelling of 260789760 in words is "two hundred sixty million, seven hundred eighty-nine thousand, seven hundred sixty".