2007768 has 128 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 497664.

The previous prime is 2007767. The next prime is 2007769. The reversal of 2007768 is 8677002.

It is an interprime number because it is at equal distance from previous prime (2007767) and next prime (2007769).

It is a super-2 number, since 2×2007768² = 8062264683648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007763) 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, 54246 + ... + 54282.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^2007768 is an apocalyptic number.

2007768 is a gapful number since it is divisible by the number (28) 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 2007768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2007768 is an abundant number, since it is smaller than the sum of its proper divisors (4558632).

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

2007768 is a wasteful number, since it uses less digits than its factorization.

2007768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2007768 is about 1416.9573035205. The cubic root of 2007768 is about 126.1550120394.

It can be divided in two parts, 2007 and 768, that added together give a triangular number (2775 = T₇₄).

The spelling of 2007768 in words is "two million, seven thousand, seven hundred sixty-eight".