7842873600 has 567 divisors, whose sum is σ = 29832388999. Its totient is φ = 2040422400.

The previous prime is 7842873557. The next prime is 7842873611. The reversal of 7842873600 is 63782487.

It is a happy number.

The square root of 7842873600 is 88560.

It is a perfect power (a square), and thus also a powerful number.

7842873600 is a `hidden beast` number, since 7 + 8 + 4 + 287 + 360 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3301191936 + 4541681664 = 57456^2 + 67392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 191289580 + ... + 191289620.

Almost surely, 2^7842873600 is an apocalyptic number.

7842873600 is the 88560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842873600

7842873600 is an abundant number, since it is smaller than the sum of its proper divisors (21989515399).

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

7842873600 is an frugal number, since it uses more digits than its factorization.

7842873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 7842873600 is about 1986.8194608447.

The spelling of 7842873600 in words is "seven billion, eight hundred forty-two million, eight hundred seventy-three thousand, six hundred".