7682640 has 160 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 1646592.

The previous prime is 7682639. The next prime is 7682641. The reversal of 7682640 is 462867.

7682640 = T₆₄₅ + T₆₄₆ + ... + T₆₇₉.

It is an interprime number because it is at equal distance from previous prime (7682639) and next prime (7682641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7682641) 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 31 ways as a sum of consecutive naturals, for example, 28426 + ... + 28694.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 2^7682640 is an apocalyptic number.

7682640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

7682640 is an abundant number, since it is smaller than the sum of its proper divisors (21244080).

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

7682640 is a wasteful number, since it uses less digits than its factorization.

7682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7682640 is about 2771.7575651561. The cubic root of 7682640 is about 197.3195703006.

The spelling of 7682640 in words is "seven million, six hundred eighty-two thousand, six hundred forty".