4077920 has 96 divisors (see below), whose sum is σ = 12047616. Its totient is φ = 1267200.

The previous prime is 4077919. The next prime is 4077929. The reversal of 4077920 is 297704.

4077920 = T₁₄₁ + T₁₄₂ + ... + T₃₀₀.

4077920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077929) 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, 12155 + ... + 12485.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

Almost surely, 2^4077920 is an apocalyptic number.

4077920 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 4077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808).

4077920 is an abundant number, since it is smaller than the sum of its proper divisors (7969696).

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

4077920 is a wasteful number, since it uses less digits than its factorization.

4077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 4077920 is about 2019.3860453118. The cubic root of 4077920 is about 159.7642361001.

The spelling of 4077920 in words is "four million, seventy-seven thousand, nine hundred twenty".