7940020 has 72 divisors (see below), whose sum is σ = 19506312. Its totient is φ = 2703360.

The previous prime is 7940017. The next prime is 7940021. The reversal of 7940020 is 200497.

7940020 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 7086244 = 924^2 + 2662^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 7939973 and 7940000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940021) 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 23 ways as a sum of consecutive naturals, for example, 41044 + ... + 41236.

It is an arithmetic number, because the mean of its divisors is an integer number (270921).

Almost surely, 2^7940020 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 7940020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753156).

7940020 is an abundant number, since it is smaller than the sum of its proper divisors (11566292).

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

7940020 is a wasteful number, since it uses less digits than its factorization.

7940020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 7940020 is about 2817.8041095860. The cubic root of 7940020 is about 199.4989122706.

The spelling of 7940020 in words is "seven million, nine hundred forty thousand, twenty".