27378000 has 300 divisors, whose sum is σ = 107083548. Its totient is φ = 6739200.

The previous prime is 27377963. The next prime is 27378011. The reversal of 27378000 is 87372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 8088336 = 4392^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2105994 + ... + 2106006.

Almost surely, 2^27378000 is an apocalyptic number.

27378000 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 27378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53541774).

27378000 is an abundant number, since it is smaller than the sum of its proper divisors (79705548).

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

27378000 is a wasteful number, since it uses less digits than its factorization.

27378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 27378000 is about 5232.3990673495. The cubic root of 27378000 is about 301.3935170120.

The spelling of 27378000 in words is "twenty-seven million, three hundred seventy-eight thousand".