1077805120 has 112 divisors (see below), whose sum is σ = 2956364928. Its totient is φ = 366612480.

The previous prime is 1077805087. The next prime is 1077805123. The reversal of 1077805120 is 215087701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1077805123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291604 + ... + 295276.

Almost surely, 2^1077805120 is an apocalyptic number.

1077805120 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 1077805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478182464).

1077805120 is an abundant number, since it is smaller than the sum of its proper divisors (1878559808).

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

1077805120 is a wasteful number, since it uses less digits than its factorization.

1077805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 1077805120 is about 32829.9424306531. The cubic root of 1077805120 is about 1025.2900610777.

The spelling of 1077805120 in words is "one billion, seventy-seven million, eight hundred five thousand, one hundred twenty".