863786880 has 192 divisors, whose sum is σ = 3254163120. Its totient is φ = 209387520.

The previous prime is 863786879. The next prime is 863786897. The reversal of 863786880 is 88687368.

It is a happy number.

863786880 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 (192).

It is a super-2 number, since 2×863786880² = 1492255548120268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56544 + ... + 70176.

Almost surely, 2^863786880 is an apocalyptic number.

863786880 is a gapful number since it is divisible by the number (80) 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 863786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627081560).

863786880 is an abundant number, since it is smaller than the sum of its proper divisors (2390376240).

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

863786880 is a wasteful number, since it uses less digits than its factorization.

863786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13654 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 863786880 is about 29390.2514449945. The cubic root of 863786880 is about 952.3623129558.

The spelling of 863786880 in words is "eight hundred sixty-three million, seven hundred eighty-six thousand, eight hundred eighty".