863280000 has 480 divisors, whose sum is σ = 3417499800. Its totient is φ = 207360000.

The previous prime is 863279903. The next prime is 863280017. The reversal of 863280000 is 82368.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919946 + ... + 7920054.

Almost surely, 2^863280000 is an apocalyptic number.

863280000 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 863280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708749900).

863280000 is an abundant number, since it is smaller than the sum of its proper divisors (2554219800).

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

863280000 is a wasteful number, since it uses less digits than its factorization.

863280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 863280000 is about 29381.6269120687. The cubic root of 863280000 is about 952.1759908141.

The spelling of 863280000 in words is "eight hundred sixty-three million, two hundred eighty thousand".