7689640 has 64 divisors (see below), whose sum is σ = 20476800. Its totient is φ = 2542848.

The previous prime is 7689631. The next prime is 7689653. The reversal of 7689640 is 469867.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7689593 and 7689602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7647 + ... + 8593.

It is an arithmetic number, because the mean of its divisors is an integer number (319950).

Almost surely, 2^7689640 is an apocalyptic number.

7689640 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 7689640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238400).

7689640 is an abundant number, since it is smaller than the sum of its proper divisors (12787160).

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

7689640 is a wasteful number, since it uses less digits than its factorization.

7689640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 7689640 is about 2773.0200143526. The cubic root of 7689640 is about 197.3794810301.

The spelling of 7689640 in words is "seven million, six hundred eighty-nine thousand, six hundred forty".