1027806080 has 128 divisors (see below), whose sum is σ = 2854906560. Its totient is φ = 346521600.

The previous prime is 1027806067. The next prime is 1027806089. The reversal of 1027806080 is 806087201.

1027806080 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027806089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271400 + ... + 275160.

Almost surely, 2^1027806080 is an apocalyptic number.

1027806080 is a gapful number since it is divisible by the number (10) 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 1027806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427453280).

1027806080 is an abundant number, since it is smaller than the sum of its proper divisors (1827100480).

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

1027806080 is an equidigital number, since it uses as much as digits as its factorization.

1027806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1027806080 is about 32059.4148418214. The cubic root of 1027806080 is about 1009.1840876492.

The spelling of 1027806080 in words is "one billion, twenty-seven million, eight hundred six thousand, eighty".