260722800 has 300 divisors, whose sum is σ = 1009319080. Its totient is φ = 64074240.

The previous prime is 260722793. The next prime is 260722801. The reversal of 260722800 is 8227062.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260722801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420891 + ... + 421509.

Almost surely, 2^260722800 is an apocalyptic number.

260722800 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 260722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504659540).

260722800 is an abundant number, since it is smaller than the sum of its proper divisors (748596280).

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

260722800 is a wasteful number, since it uses less digits than its factorization.

260722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 260722800 is about 16146.9130176638. The cubic root of 260722800 is about 638.8413280565.

Adding to 260722800 its reverse (8227062), we get a palindrome (268949862).

The spelling of 260722800 in words is "two hundred sixty million, seven hundred twenty-two thousand, eight hundred".