7825643300 has 18 divisors (see below), whose sum is σ = 16981646178. Its totient is φ = 3130257280.

The previous prime is 7825643281. The next prime is 7825643311. The reversal of 7825643300 is 33465287.

It can be written as a sum of positive squares in 3 ways, for example, as 711395584 + 7114247716 = 26672^2 + 84346^2 .

It is a super-2 number, since 2×7825643300² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39128117 + ... + 39128316.

Almost surely, 2^7825643300 is an apocalyptic number.

It is an amenable number.

7825643300 is an abundant number, since it is smaller than the sum of its proper divisors (9156002878).

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

7825643300 is a wasteful number, since it uses less digits than its factorization.

7825643300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78256447 (or 78256440 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 7825643300 is about 88462.6661366251. Note that the first 3 decimals coincide. The cubic root of 7825643300 is about 1985.3634215850.

The spelling of 7825643300 in words is "seven billion, eight hundred twenty-five million, six hundred forty-three thousand, three hundred".