7840864 has 24 divisors (see below), whose sum is σ = 15702120. Its totient is φ = 3853056.

The previous prime is 7840849. The next prime is 7840867. The reversal of 7840864 is 4680487.

7840864 = T₇ + T₈ + ... + T₃₆₀.

It is a super-2 number, since 2×7840864² = 122958296532992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7840867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 3964.

It is an arithmetic number, because the mean of its divisors is an integer number (654255).

Almost surely, 2^7840864 is an apocalyptic number.

It is an amenable number.

7840864 is an abundant number, since it is smaller than the sum of its proper divisors (7861256).

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

7840864 is a wasteful number, since it uses less digits than its factorization.

7840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 7840864 is about 2800.1542814638. The cubic root of 7840864 is about 198.6649750368.

The spelling of 7840864 in words is "seven million, eight hundred forty thousand, eight hundred sixty-four".