1027807872 has 256 divisors, whose sum is σ = 3418060800. Its totient is φ = 266416128.

The previous prime is 1027807817. The next prime is 1027807889. The reversal of 1027807872 is 2787087201.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2341029 + ... + 2341467.

It is an arithmetic number, because the mean of its divisors is an integer number (13351800).

Almost surely, 2^1027807872 is an apocalyptic number.

1027807872 is a gapful number since it is divisible by the number (12) 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 1027807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709030400).

1027807872 is an abundant number, since it is smaller than the sum of its proper divisors (2390252928).

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

1027807872 is a wasteful number, since it uses less digits than its factorization.

1027807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 1027807872 is about 32059.4427899176. The cubic root of 1027807872 is about 1009.1846741596.

The spelling of 1027807872 in words is "one billion, twenty-seven million, eight hundred seven thousand, eight hundred seventy-two".