260787600 has 180 divisors, whose sum is σ = 938873936. Its totient is φ = 69517440.

The previous prime is 260787589. The next prime is 260787607. The reversal of 260787600 is 6787062.

260787600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (260787607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95859 + ... + 98541.

Almost surely, 2^260787600 is an apocalyptic number.

260787600 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 260787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469436968).

260787600 is an abundant number, since it is smaller than the sum of its proper divisors (678086336).

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

260787600 is a wasteful number, since it uses less digits than its factorization.

260787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 260787600 is about 16148.9194684970. The cubic root of 260787600 is about 638.8942495104.

The spelling of 260787600 in words is "two hundred sixty million, seven hundred eighty-seven thousand, six hundred".