260804880 has 320 divisors, whose sum is σ = 1051361280. Its totient is φ = 58185216.

The previous prime is 260804879. The next prime is 260804893. The reversal of 260804880 is 88408062.

260804880 is a `hidden beast` number, since 2 + 608 + 0 + 48 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710457 + ... + 710823.

It is an arithmetic number, because the mean of its divisors is an integer number (3285504).

Almost surely, 2^260804880 is an apocalyptic number.

260804880 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 260804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525680640).

260804880 is an abundant number, since it is smaller than the sum of its proper divisors (790556400).

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

260804880 is a wasteful number, since it uses less digits than its factorization.

260804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 260804880 is about 16149.4544799507. The cubic root of 260804880 is about 638.9083604175.

The spelling of 260804880 in words is "two hundred sixty million, eight hundred four thousand, eight hundred eighty".