27760830 has 64 divisors (see below), whose sum is σ = 73016640. Its totient is φ = 6723584.

The previous prime is 27760807. The next prime is 27760849. The reversal of 27760830 is 3806772.

It is a junction number, because it is equal to n+sod(n) for n = 27760791 and 27760800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13852 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (1140885).

Almost surely, 2^27760830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27760830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36508320).

27760830 is an abundant number, since it is smaller than the sum of its proper divisors (45255810).

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

27760830 is a wasteful number, since it uses less digits than its factorization.

27760830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 27760830 is about 5268.8547142619. The cubic root of 27760830 is about 302.7918272962.

The spelling of 27760830 in words is "twenty-seven million, seven hundred sixty thousand, eight hundred thirty".