7785963 has 18 divisors (see below), whose sum is σ = 11728444. Its totient is φ = 5161644.

The previous prime is 7785917. The next prime is 7785971. The reversal of 7785963 is 3695877.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 7785963 - 2¹⁴ = 7769579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7785913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43408 + ... + 43586.

Almost surely, 2^7785963 is an apocalyptic number.

7785963 is a deficient number, since it is larger than the sum of its proper divisors (3942481).

7785963 is an frugal number, since it uses more digits than its factorization.

7785963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 182 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 7785963 is about 2790.3338509935. Note that the first 3 decimals coincide. The cubic root of 7785963 is about 198.2002107088.

The spelling of 7785963 in words is "seven million, seven hundred eighty-five thousand, nine hundred sixty-three".