7820882625 has 64 divisors (see below), whose sum is σ = 13665540096. Its totient is φ = 3964593600.

The previous prime is 7820882609. The next prime is 7820882639. The reversal of 7820882625 is 5262880287.

It is not a de Polignac number, because 7820882625 - 2⁴ = 7820882609 is a prime.

It is a super-2 number, since 2×7820882625² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403094 + ... + 1408656.

It is an arithmetic number, because the mean of its divisors is an integer number (213524064).

Almost surely, 2^7820882625 is an apocalyptic number.

7820882625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7820882625 is a deficient number, since it is larger than the sum of its proper divisors (5844657471).

7820882625 is a wasteful number, since it uses less digits than its factorization.

7820882625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 7820882625 is about 88435.7542230517. The cubic root of 7820882625 is about 1984.9607459662.

It can be divided in two parts, 7820 and 882625, that added together give a triangular number (890445 = T₁₃₃₄).

The spelling of 7820882625 in words is "seven billion, eight hundred twenty million, eight hundred eighty-two thousand, six hundred twenty-five".