1027079820 has 144 divisors (see below), whose sum is σ = 3552625440. Its totient is φ = 237938688.

The previous prime is 1027079819. The next prime is 1027079831. The reversal of 1027079820 is 289707201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26871 + ... + 52689.

It is an arithmetic number, because the mean of its divisors is an integer number (24671010).

Almost surely, 2^1027079820 is an apocalyptic number.

1027079820 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 1027079820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776312720).

1027079820 is an abundant number, since it is smaller than the sum of its proper divisors (2525545620).

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

1027079820 is a wasteful number, since it uses less digits than its factorization.

1027079820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25864 (or 25859 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1027079820 is about 32048.0860582968. The cubic root of 1027079820 is about 1008.9463311470.

The spelling of 1027079820 in words is "one billion, twenty-seven million, seventy-nine thousand, eight hundred twenty".