2007768852 has 36 divisors (see below), whose sum is σ = 5198982516. Its totient is φ = 652932480.

The previous prime is 2007768821. The next prime is 2007768863. The reversal of 2007768852 is 2588677002.

It can be written as a sum of positive squares in 2 ways, for example, as 934158096 + 1073610756 = 30564^2 + 32766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2007768852² = 8062271526122795808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2007768798 and 2007768807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678663 + ... + 681614.

It is an arithmetic number, because the mean of its divisors is an integer number (144416181).

Almost surely, 2^2007768852 is an apocalyptic number.

It is an amenable number.

2007768852 is an abundant number, since it is smaller than the sum of its proper divisors (3191213664).

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

2007768852 is a wasteful number, since it uses less digits than its factorization.

2007768852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360328 (or 1360323 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2007768852 is about 44808.1337705555. The cubic root of 2007768852 is about 1261.5502988414.

It can be divided in two parts, 200776 and 8852, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 2007768852 in words is "two billion, seven million, seven hundred sixty-eight thousand, eight hundred fifty-two".