26788320 has 288 divisors, whose sum is σ = 104019552. Its totient is φ = 6469632.

The previous prime is 26788319. The next prime is 26788327. The reversal of 26788320 is 2388762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26788320² = 1435228176844800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26788327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505414 + ... + 505466.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^26788320 is an apocalyptic number.

26788320 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 26788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

26788320 is an abundant number, since it is smaller than the sum of its proper divisors (77231232).

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

26788320 is a wasteful number, since it uses less digits than its factorization.

26788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 26788320 is about 5175.7434248618. The cubic root of 26788320 is about 299.2139421759.

The spelling of 26788320 in words is "twenty-six million, seven hundred eighty-eight thousand, three hundred twenty".