27759440 has 40 divisors (see below), whose sum is σ = 65516640. Its totient is φ = 10935936.

The previous prime is 27759421. The next prime is 27759461. The reversal of 27759440 is 4495772.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×27759440² = 1541173018227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27759394 and 27759403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2771 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (1637916).

Almost surely, 2^27759440 is an apocalyptic number.

27759440 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 27759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32758320).

27759440 is an abundant number, since it is smaller than the sum of its proper divisors (37757200).

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

27759440 is a wasteful number, since it uses less digits than its factorization.

27759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 27759440 is about 5268.7228053865. The cubic root of 27759440 is about 302.7867735608.

The spelling of 27759440 in words is "twenty-seven million, seven hundred fifty-nine thousand, four hundred forty".