864800 has 72 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 323840.

The previous prime is 864793. The next prime is 864803. The reversal of 864800 is 8468.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 864800.

It is not an unprimeable number, because it can be changed into a prime (864803) by changing a digit.

864800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18377 + ... + 18423.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁸⁶⁴⁸⁰⁰ is an apocalyptic number.

864800 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 864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

864800 is an abundant number, since it is smaller than the sum of its proper divisors (1385056).

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

864800 is a wasteful number, since it uses less digits than its factorization.

864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 864800 is about 929.9462350050. The cubic root of 864800 is about 95.2734503656.

It can be divided in two parts, 8 and 64800, that multiplied together give a square (518400 = 720²).

The spelling of 864800 in words is "eight hundred sixty-four thousand, eight hundred".