260292780 has 432 divisors, whose sum is σ = 993414240. Its totient is φ = 54743040.

The previous prime is 260292733. The next prime is 260292787. The reversal of 260292780 is 87292062.

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

It is not an unprimeable number, because it can be changed into a prime (260292787) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7034922 + ... + 7034958.

It is an arithmetic number, because the mean of its divisors is an integer number (2299570).

Almost surely, 2^260292780 is an apocalyptic number.

260292780 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 260292780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496707120).

260292780 is an abundant number, since it is smaller than the sum of its proper divisors (733121460).

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

260292780 is a wasteful number, since it uses less digits than its factorization.

260292780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 260292780 is about 16133.5916645984. The cubic root of 260292780 is about 638.4899130431.

The spelling of 260292780 in words is "two hundred sixty million, two hundred ninety-two thousand, seven hundred eighty".