27799400 has 48 divisors (see below), whose sum is σ = 66876300. Its totient is φ = 10734080.

The previous prime is 27799397. The next prime is 27799427. The reversal of 27799400 is 499772.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15952036 + 11847364 = 3994^2 + 3442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3404 + ... + 8196.

Almost surely, 2^27799400 is an apocalyptic number.

27799400 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 27799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33438150).

27799400 is an abundant number, since it is smaller than the sum of its proper divisors (39076900).

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

27799400 is a wasteful number, since it uses less digits than its factorization.

27799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 27799400 is about 5272.5136320355. The cubic root of 27799400 is about 302.9319921290.

The spelling of 27799400 in words is "twenty-seven million, seven hundred ninety-nine thousand, four hundred".