1078800 has 120 divisors (see below), whose sum is σ = 3690240. Its totient is φ = 268800.

The previous prime is 1078789. The next prime is 1078807. The reversal of 1078800 is 88701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1078807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34785 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (30752).

2^1078800 is an apocalyptic number.

1078800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1078800 is the 600-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845120).

1078800 is an abundant number, since it is smaller than the sum of its proper divisors (2611440).

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

1078800 is a wasteful number, since it uses less digits than its factorization.

1078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1078800 is about 1038.6529738079. The cubic root of 1078800 is about 102.5605432525.

Subtracting from 1078800 its reverse (88701), we obtain a palindrome (990099).

The spelling of 1078800 in words is "one million, seventy-eight thousand, eight hundred".