4077781760 has 144 divisors (see below), whose sum is σ = 10569605760. Its totient is φ = 1498398720.

The previous prime is 4077781753. The next prime is 4077781769. The reversal of 4077781760 is 671877704.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4077781769) 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 15 ways as a sum of consecutive naturals, for example, 4475705 + ... + 4476615.

It is an arithmetic number, because the mean of its divisors is an integer number (73400040).

Almost surely, 2^4077781760 is an apocalyptic number.

4077781760 is a gapful number since it is divisible by the number (40) 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 4077781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284802880).

4077781760 is an abundant number, since it is smaller than the sum of its proper divisors (6491824000).

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

4077781760 is a wasteful number, since it uses less digits than its factorization.

4077781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 47.

The square root of 4077781760 is about 63857.5113827653. The cubic root of 4077781760 is about 1597.6243076328.

The spelling of 4077781760 in words is "four billion, seventy-seven million, seven hundred eighty-one thousand, seven hundred sixty".