1077136816 has 60 divisors (see below), whose sum is σ = 2457077112. Its totient is φ = 456040704.

The previous prime is 1077136777. The next prime is 1077136831. The reversal of 1077136816 is 6186317701.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 56796 + ... + 73348.

Almost surely, 2^1077136816 is an apocalyptic number.

1077136816 is a gapful number since it is divisible by the number (16) 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 1077136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228538556).

1077136816 is an abundant number, since it is smaller than the sum of its proper divisors (1379940296).

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

1077136816 is a wasteful number, since it uses less digits than its factorization.

1077136816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16645 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 1077136816 is about 32819.7625829316. The cubic root of 1077136816 is about 1025.0781034278.

The spelling of 1077136816 in words is "one billion, seventy-seven million, one hundred thirty-six thousand, eight hundred sixteen".