27920700 has 126 divisors (see below), whose sum is σ = 91077504. Its totient is φ = 7426080.

The previous prime is 27920699. The next prime is 27920719. The reversal of 27920700 is 702972.

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

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72709 + ... + 73091.

Almost surely, 2^27920700 is an apocalyptic number.

27920700 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 27920700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45538752).

27920700 is an abundant number, since it is smaller than the sum of its proper divisors (63156804).

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

27920700 is a wasteful number, since it uses less digits than its factorization.

27920700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 27920700 is about 5284.0041635109. The cubic root of 27920700 is about 303.3719576734.

The spelling of 27920700 in words is "twenty-seven million, nine hundred twenty thousand, seven hundred".