27880875 has 64 divisors (see below), whose sum is σ = 56309760. Its totient is φ = 13500000.

The previous prime is 27880871. The next prime is 27880903. The reversal of 27880875 is 57808872.

It is a happy number.

It is not a de Polignac number, because 27880875 - 2² = 27880871 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27880875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27880871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36750 + ... + 37500.

It is an arithmetic number, because the mean of its divisors is an integer number (879840).

Almost surely, 2^27880875 is an apocalyptic number.

27880875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27880875 is an abundant number, since it is smaller than the sum of its proper divisors (28428885).

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

27880875 is a wasteful number, since it uses less digits than its factorization.

27880875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 27880875 is about 5280.2343697984. The cubic root of 27880875 is about 303.2276497214.

The spelling of 27880875 in words is "twenty-seven million, eight hundred eighty thousand, eight hundred seventy-five".