861378768 has 30 divisors (see below), whose sum is σ = 2410664594. Its totient is φ = 287126208.

The previous prime is 861378761. The next prime is 861378769. The reversal of 861378768 is 867873168.

861378768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 471237264 + 390141504 = 21708^2 + 19752^2 .

It is a super-2 number, since 2×861378768² = 1483946763922395648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861378761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2990755 + ... + 2991042.

Almost surely, 2^861378768 is an apocalyptic number.

It is an amenable number.

861378768 is an abundant number, since it is smaller than the sum of its proper divisors (1549285826).

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

861378768 is a wasteful number, since it uses less digits than its factorization.

861378768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981811 (or 5981802 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 861378768 is about 29349.2549820264. The cubic root of 861378768 is about 951.4764734463.

The spelling of 861378768 in words is "eight hundred sixty-one million, three hundred seventy-eight thousand, seven hundred sixty-eight".