861883776 has 288 divisors, whose sum is σ = 2839098600. Its totient is φ = 250159104.

The previous prime is 861883753. The next prime is 861883783. The reversal of 861883776 is 677388168.

861883776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3698956 + ... + 3699188.

Almost surely, 2^861883776 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 861883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419549300).

861883776 is an abundant number, since it is smaller than the sum of its proper divisors (1977214824).

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

861883776 is a wasteful number, since it uses less digits than its factorization.

861883776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

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

The square root of 861883776 is about 29357.8571425096. The cubic root of 861883776 is about 951.6623805743.

The spelling of 861883776 in words is "eight hundred sixty-one million, eight hundred eighty-three thousand, seven hundred seventy-six".