26807760 has 240 divisors, whose sum is σ = 107243136. Its totient is φ = 6096384.

The previous prime is 26807743. The next prime is 26807773. The reversal of 26807760 is 6770862.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135982 + ... + 136178.

Almost surely, 2^26807760 is an apocalyptic number.

26807760 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 26807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

26807760 is an abundant number, since it is smaller than the sum of its proper divisors (80435376).

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

26807760 is a wasteful number, since it uses less digits than its factorization.

26807760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

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

The square root of 26807760 is about 5177.6210753588. The cubic root of 26807760 is about 299.2863034706.

It can be divided in two parts, 2680 and 7760, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 26807760 in words is "twenty-six million, eight hundred seven thousand, seven hundred sixty".