7842500 has 30 divisors (see below), whose sum is σ = 17155446. Its totient is φ = 3136000.

The previous prime is 7842493. The next prime is 7842503. The reversal of 7842500 is 52487.

It can be written as a sum of positive squares in 5 ways, for example, as 692224 + 7150276 = 832^2 + 2674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7842500.

It is not an unprimeable number, because it can be changed into a prime (7842503) 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 9 ways as a sum of consecutive naturals, for example, 932 + ... + 4068.

Almost surely, 2^7842500 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 7842500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577723).

7842500 is an abundant number, since it is smaller than the sum of its proper divisors (9312946).

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

7842500 is a wasteful number, since it uses less digits than its factorization.

7842500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 7842500 is about 2800.4463929881. The cubic root of 7842500 is about 198.6787912564.

Adding to 7842500 its reverse (52487), we get a palindrome (7894987).

It can be divided in two parts, 784 and 2500, that multiplied together give a square (1960000 = 1400²).

The spelling of 7842500 in words is "seven million, eight hundred forty-two thousand, five hundred".