1027774000 has 240 divisors, whose sum is σ = 2840318208. Its totient is φ = 359040000.

The previous prime is 1027773997. The next prime is 1027774009. The reversal of 1027774000 is 4777201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027774000.

It is not an unprimeable number, because it can be changed into a prime (1027774009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7501932 + ... + 7502068.

Almost surely, 2^1027774000 is an apocalyptic number.

1027774000 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 1027774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420159104).

1027774000 is an abundant number, since it is smaller than the sum of its proper divisors (1812544208).

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

1027774000 is a wasteful number, since it uses less digits than its factorization.

1027774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 1027774000 is about 32058.9145168703. The cubic root of 1027774000 is about 1009.1735879506.

The spelling of 1027774000 in words is "one billion, twenty-seven million, seven hundred seventy-four thousand".