27796800 has 84 divisors (see below), whose sum is σ = 91212416. Its totient is φ = 7411200.

The previous prime is 27796799. The next prime is 27796823. The reversal of 27796800 is 869772.

It is a congruent number.

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, 1905 + ... + 7695.

Almost surely, 2^27796800 is an apocalyptic number.

27796800 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 27796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606208).

27796800 is an abundant number, since it is smaller than the sum of its proper divisors (63415616).

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

27796800 is a wasteful number, since it uses less digits than its factorization.

27796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 27796800 is about 5272.2670645558. The cubic root of 27796800 is about 302.9225477078.

The spelling of 27796800 in words is "twenty-seven million, seven hundred ninety-six thousand, eight hundred".