7944100 has 36 divisors (see below), whose sum is σ = 18256644. Its totient is φ = 2990080.

The previous prime is 7944089. The next prime is 7944103. The reversal of 7944100 is 14497.

It can be written as a sum of positive squares in 6 ways, for example, as 675684 + 7268416 = 822^2 + 2696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944103) 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 11 ways as a sum of consecutive naturals, for example, 637 + ... + 4036.

It is an arithmetic number, because the mean of its divisors is an integer number (507129).

Almost surely, 2^7944100 is an apocalyptic number.

It is an amenable number.

7944100 is an abundant number, since it is smaller than the sum of its proper divisors (10312544).

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

7944100 is a wasteful number, since it uses less digits than its factorization.

7944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7944100 is about 2818.5279846047. The cubic root of 7944100 is about 199.5330774315.

Adding to 7944100 its reverse (14497), we get a palindrome (7958597).

The spelling of 7944100 in words is "seven million, nine hundred forty-four thousand, one hundred".