4077756 has 48 divisors (see below), whose sum is σ = 11198880. Its totient is φ = 1278720.

The previous prime is 4077751. The next prime is 4077757. The reversal of 4077756 is 6577704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4077756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077751) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 726 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (233310).

Almost surely, 2^4077756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599440).

4077756 is an abundant number, since it is smaller than the sum of its proper divisors (7121124).

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

4077756 is a wasteful number, since it uses less digits than its factorization.

4077756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 4077756 is about 2019.3454385023. The cubic root of 4077756 is about 159.7620943476.

The spelling of 4077756 in words is "four million, seventy-seven thousand, seven hundred fifty-six".