1027808220 has 48 divisors (see below), whose sum is σ = 2939102208. Its totient is φ = 268249920.

The previous prime is 1027808209. The next prime is 1027808239. The reversal of 1027808220 is 228087201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179416 + ... + 185055.

It is an arithmetic number, because the mean of its divisors is an integer number (61231296).

Almost surely, 2^1027808220 is an apocalyptic number.

1027808220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027808220 is an abundant number, since it is smaller than the sum of its proper divisors (1911293988).

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

1027808220 is a wasteful number, since it uses less digits than its factorization.

1027808220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364530 (or 364528 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1027808220 is about 32059.4482173352. The cubic root of 1027808220 is about 1009.1847880577.

The spelling of 1027808220 in words is "one billion, twenty-seven million, eight hundred eight thousand, two hundred twenty".