4000720 has 40 divisors (see below), whose sum is σ = 9526176. Its totient is φ = 1561728.

The previous prime is 4000709. The next prime is 4000723. The reversal of 4000720 is 270004.

4000720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

4000720 is a modest number, since divided by 720 gives 400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4000720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000723) 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 7 ways as a sum of consecutive naturals, for example, 2859 + ... + 4021.

Almost surely, 2^4000720 is an apocalyptic number.

4000720 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 4000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763088).

4000720 is an abundant number, since it is smaller than the sum of its proper divisors (5525456).

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

4000720 is a wasteful number, since it uses less digits than its factorization.

4000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 4000720 is about 2000.1799919007. The cubic root of 4000720 is about 158.7496290317.

Adding to 4000720 its reverse (270004), we get a palindrome (4270724).

The spelling of 4000720 in words is "four million, seven hundred twenty", and thus it is an aban number.