7827968 has 20 divisors (see below), whose sum is σ = 15641670. Its totient is φ = 3913728.

The previous prime is 7827959. The next prime is 7827971. The reversal of 7827968 is 8697287.

It can be written as a sum of positive squares in only one way, i.e., 6310144 + 1517824 = 2512^2 + 1232^2 .

It is a super-2 number, since 2×7827968² = 122554166018048, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7133 + ... + 8156.

Almost surely, 2^7827968 is an apocalyptic number.

It is an amenable number.

7827968 is a deficient number, since it is larger than the sum of its proper divisors (7813702).

7827968 is an equidigital number, since it uses as much as digits as its factorization.

7827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15291 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 7827968 is about 2797.8506035884. The cubic root of 7827968 is about 198.5559994025. Note that the first 3 decimals are identical.

The spelling of 7827968 in words is "seven million, eight hundred twenty-seven thousand, nine hundred sixty-eight".