1077677000 has 32 divisors (see below), whose sum is σ = 2521766520. Its totient is φ = 431070400.

The previous prime is 1077676993. The next prime is 1077677071. The reversal of 1077677000 is 7767701.

It can be written as a sum of positive squares in 4 ways, for example, as 176836804 + 900840196 = 13298^2 + 30014^2 .

It is a super-2 number, since 2×1077677000² = 2322775432658000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537839 + ... + 539838.

Almost surely, 2^1077677000 is an apocalyptic number.

1077677000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077677000 is an abundant number, since it is smaller than the sum of its proper divisors (1444089520).

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

1077677000 is a wasteful number, since it uses less digits than its factorization.

1077677000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077698 (or 1077684 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 35.

The square root of 1077677000 is about 32827.9911051529. The cubic root of 1077677000 is about 1025.2494336440.

The spelling of 1077677000 in words is "one billion, seventy-seven million, six hundred seventy-seven thousand".