863760 has 80 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 222720.

The previous prime is 863749. The next prime is 863767. The reversal of 863760 is 67368.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×863760³ = 1933305648496128000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 863760.

It is not an unprimeable number, because it can be changed into a prime (863767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14130 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2⁸⁶³⁷⁶⁰ is an apocalyptic number.

863760 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 863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

863760 is an abundant number, since it is smaller than the sum of its proper divisors (1903920).

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

863760 is a wasteful number, since it uses less digits than its factorization.

863760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 863760 is about 929.3868946784. The cubic root of 863760 is about 95.2352434067.

The spelling of 863760 in words is "eight hundred sixty-three thousand, seven hundred sixty".