7857049600 has 117 divisors (see below), whose sum is σ = 19553694447. Its totient is φ = 3131473920.

The previous prime is 7857049597. The next prime is 7857049609. The reversal of 7857049600 is 69407587.

It is a happy number.

The square root of 7857049600 is 88640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1800474624 + 6056574976 = 42432^2 + 77824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7857049609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28364662 + ... + 28364938.

Almost surely, 2^7857049600 is an apocalyptic number.

7857049600 is the 88640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7857049600

7857049600 is an abundant number, since it is smaller than the sum of its proper divisors (11696644847).

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

7857049600 is an frugal number, since it uses more digits than its factorization.

7857049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The cubic root of 7857049600 is about 1988.0157995686.

The spelling of 7857049600 in words is "seven billion, eight hundred fifty-seven million, forty-nine thousand, six hundred".