27378120 has 128 divisors (see below), whose sum is σ = 102435840. Its totient is φ = 5687040.

The previous prime is 27378103. The next prime is 27378133. The reversal of 27378120 is 2187372.

It is a super-2 number, since 2×27378120² = 1499122909468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7759 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^27378120 is an apocalyptic number.

27378120 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 27378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51217920).

27378120 is an abundant number, since it is smaller than the sum of its proper divisors (75057720).

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

27378120 is a wasteful number, since it uses less digits than its factorization.

27378120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27378120 is about 5232.4105343522. The cubic root of 27378120 is about 301.3939573555.

The spelling of 27378120 in words is "twenty-seven million, three hundred seventy-eight thousand, one hundred twenty".