1077127000 has 32 divisors (see below), whose sum is σ = 2520479520. Its totient is φ = 430850400.

The previous prime is 1077126997. The next prime is 1077127061. The reversal of 1077127000 is 7217701.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 537564 + ... + 539563.

It is an arithmetic number, because the mean of its divisors is an integer number (78764985).

Almost surely, 2^1077127000 is an apocalyptic number.

1077127000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077127000 is an abundant number, since it is smaller than the sum of its proper divisors (1443352520).

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

1077127000 is a wasteful number, since it uses less digits than its factorization.

1077127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077148 (or 1077134 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 1077127000 is about 32819.6130385475. The cubic root of 1077127000 is about 1025.0749895562.

The spelling of 1077127000 in words is "one billion, seventy-seven million, one hundred twenty-seven thousand".