7876385001 has 63 divisors (see below), whose sum is σ = 12535882599. Its totient is φ = 4945804272.

The previous prime is 7876384993. The next prime is 7876385003. The reversal of 7876385001 is 1005836787.

The square root of 7876385001 is 88749.

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

7876385001 is a `hidden beast` number, since 7 + 8 + 7 + 638 + 5 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7164776025 + 711608976 = 84645^2 + 26676^2 .

It is not a de Polignac number, because 7876385001 - 2³ = 7876384993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7876385003) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 45528151 + ... + 45528323.

Almost surely, 2^7876385001 is an apocalyptic number.

7876385001 is the 88749-th square number.

7876385001 is the 44375-th centered octagonal number.

It is an amenable number.

7876385001 is a deficient number, since it is larger than the sum of its proper divisors (4659497598).

7876385001 is an frugal number, since it uses more digits than its factorization.

7876385001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The cubic root of 7876385001 is about 1989.6452319940.

The spelling of 7876385001 in words is "seven billion, eight hundred seventy-six million, three hundred eighty-five thousand, one".