7836640 has 48 divisors (see below), whose sum is σ = 21161952. Its totient is φ = 2686464.

The previous prime is 7836613. The next prime is 7836649. The reversal of 7836640 is 466387.

It is a super-2 number, since 2×7836640² = 122825852979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7836596 and 7836605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7836649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 4618.

It is an arithmetic number, because the mean of its divisors is an integer number (440874).

Almost surely, 2^7836640 is an apocalyptic number.

7836640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7836640 is an abundant number, since it is smaller than the sum of its proper divisors (13325312).

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

7836640 is a wasteful number, since it uses less digits than its factorization.

7836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7836640 is about 2799.3999357005. The cubic root of 7836640 is about 198.6292939524.

The spelling of 7836640 in words is "seven million, eight hundred thirty-six thousand, six hundred forty".