7665840 has 300 divisors, whose sum is σ = 32948784. Its totient is φ = 1617408.

The previous prime is 7665829. The next prime is 7665851. The reversal of 7665840 is 485667.

It is a happy number.

7665840 is a `hidden beast` number, since 76 + 6 + 584 + 0 = 666.

7665840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7665829) and next prime (7665851).

It is a Harshad number since it is a multiple of its sum of digits (36).

7665840 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 7665795 and 7665804.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 589674 + ... + 589686.

Almost surely, 2^7665840 is an apocalyptic number.

7665840 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 7665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474392).

7665840 is an abundant number, since it is smaller than the sum of its proper divisors (25282944).

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

7665840 is a wasteful number, since it uses less digits than its factorization.

7665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7665840 is about 2768.7253384906. The cubic root of 7665840 is about 197.1756359215.

The spelling of 7665840 in words is "seven million, six hundred sixty-five thousand, eight hundred forty".