27803440 has 80 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 9434880.

The previous prime is 27803407. The next prime is 27803443. The reversal of 27803440 is 4430872.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 27803399 and 27803408.

It is not an unprimeable number, because it can be changed into a prime (27803443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73171 + ... + 73549.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^27803440 is an apocalyptic number.

27803440 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 27803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

27803440 is an abundant number, since it is smaller than the sum of its proper divisors (46834640).

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

27803440 is a wasteful number, since it uses less digits than its factorization.

27803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 27803440 is about 5272.8967370886. The cubic root of 27803440 is about 302.9466661384.

The spelling of 27803440 in words is "twenty-seven million, eight hundred three thousand, four hundred forty".