1077091000 has 128 divisors (see below), whose sum is σ = 2688940800. Its totient is φ = 402652800.

The previous prime is 1077090923. The next prime is 1077091009. The reversal of 1077091000 is 1907701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077091009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576659 + ... + 1577341.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^1077091000 is an apocalyptic number.

1077091000 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 1077091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

1077091000 is an abundant number, since it is smaller than the sum of its proper divisors (1611849800).

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

1077091000 is a wasteful number, since it uses less digits than its factorization.

1077091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 1077091000 is about 32819.0645814289. The cubic root of 1077091000 is about 1025.0635693273.

Adding to 1077091000 its reverse (1907701), we get a palindrome (1078998701).

The spelling of 1077091000 in words is "one billion, seventy-seven million, ninety-one thousand".