1077891138 has 48 divisors (see below), whose sum is σ = 2473511040. Its totient is φ = 351644976.

The previous prime is 1077891131. The next prime is 1077891161. The reversal of 1077891138 is 8311987701.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1077891093 and 1077891102.

It is not an unprimeable number, because it can be changed into a prime (1077891131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 753 + ... + 46436.

It is an arithmetic number, because the mean of its divisors is an integer number (51531480).

Almost surely, 2^1077891138 is an apocalyptic number.

1077891138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077891138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236755520).

1077891138 is an abundant number, since it is smaller than the sum of its proper divisors (1395619902).

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

1077891138 is an equidigital number, since it uses as much as digits as its factorization.

1077891138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47253 (or 47241 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The square root of 1077891138 is about 32831.2524585950. The cubic root of 1077891138 is about 1025.3173359696.

The spelling of 1077891138 in words is "one billion, seventy-seven million, eight hundred ninety-one thousand, one hundred thirty-eight".