863479680 has 256 divisors, whose sum is σ = 3224309760. Its totient is φ = 192430080.

The previous prime is 863479663. The next prime is 863479699. The reversal of 863479680 is 86974368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550257 + ... + 551823.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2^863479680 is an apocalyptic number.

863479680 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 863479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612154880).

863479680 is an abundant number, since it is smaller than the sum of its proper divisors (2360830080).

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

863479680 is a wasteful number, since it uses less digits than its factorization.

863479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 863479680 is about 29385.0247575189. The cubic root of 863479680 is about 952.2493991499.

The spelling of 863479680 in words is "eight hundred sixty-three million, four hundred seventy-nine thousand, six hundred eighty".