261078800 has 90 divisors (see below), whose sum is σ = 643987242. Its totient is φ = 101713920.

The previous prime is 261078787. The next prime is 261078817. The reversal of 261078800 is 8870162.

It can be written as a sum of positive squares in 3 ways, for example, as 10679824 + 250398976 = 3268^2 + 15824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 739424 + ... + 739776.

Almost surely, 2^261078800 is an apocalyptic number.

261078800 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 261078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321993621).

261078800 is an abundant number, since it is smaller than the sum of its proper divisors (382908442).

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

261078800 is a wasteful number, since it uses less digits than its factorization.

261078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 261078800 is about 16157.9330361281. The cubic root of 261078800 is about 639.1319612229.

The spelling of 261078800 in words is "two hundred sixty-one million, seventy-eight thousand, eight hundred".