27879480 has 96 divisors (see below), whose sum is σ = 92766960. Its totient is φ = 7257600.

The previous prime is 27879443. The next prime is 27879491. The reversal of 27879480 is 8497872.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14580 + ... + 16380.

Almost surely, 2^27879480 is an apocalyptic number.

27879480 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 27879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46383480).

27879480 is an abundant number, since it is smaller than the sum of its proper divisors (64887480).

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

27879480 is a wasteful number, since it uses less digits than its factorization.

27879480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27879480 is about 5280.1022717368. The cubic root of 27879480 is about 303.2225923763. Note that the first 3 decimals are identical.

The spelling of 27879480 in words is "twenty-seven million, eight hundred seventy-nine thousand, four hundred eighty".