7005768 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 1704960.

The previous prime is 7005767. The next prime is 7005787. The reversal of 7005768 is 8675007.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7005763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31305 + ... + 31527.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^7005768 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 7005768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

7005768 is an abundant number, since it is smaller than the sum of its proper divisors (16218552).

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

7005768 is a wasteful number, since it uses less digits than its factorization.

7005768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 7005768 is about 2646.8411361470. The cubic root of 7005768 is about 191.3456456955.

It can be divided in two parts, 70057 and 68, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 7005768 in words is "seven million, five thousand, seven hundred sixty-eight".