26783680 has 112 divisors (see below), whose sum is σ = 79589376. Its totient is φ = 8340480.

The previous prime is 26783651. The next prime is 26783693. The reversal of 26783680 is 8638762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24097 + ... + 25183.

Almost surely, 2^26783680 is an apocalyptic number.

26783680 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 26783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

26783680 is an abundant number, since it is smaller than the sum of its proper divisors (52805696).

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

26783680 is a wasteful number, since it uses less digits than its factorization.

26783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 26783680 is about 5175.2951606648. The cubic root of 26783680 is about 299.1966655810.

The spelling of 26783680 in words is "twenty-six million, seven hundred eighty-three thousand, six hundred eighty".