7793664 has 88 divisors (see below), whose sum is σ = 21616320. Its totient is φ = 2494464.

The previous prime is 7793657. The next prime is 7793671. The reversal of 7793664 is 4663977.

It is an interprime number because it is at equal distance from previous prime (7793657) and next prime (7793671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132067 + ... + 132125.

It is an arithmetic number, because the mean of its divisors is an integer number (245640).

Almost surely, 2^7793664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808160).

7793664 is an abundant number, since it is smaller than the sum of its proper divisors (13822656).

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

7793664 is a wasteful number, since it uses less digits than its factorization.

7793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 7793664 is about 2791.7134523443. The cubic root of 7793664 is about 198.2655349712.

The spelling of 7793664 in words is "seven million, seven hundred ninety-three thousand, six hundred sixty-four".