800778 has 24 divisors (see below), whose sum is σ = 1761984. Its totient is φ = 242440.

The previous prime is 800773. The next prime is 800783. The reversal of 800778 is 877008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800773) and next prime (800783).

It is not an unprimeable number, because it can be changed into a prime (800773) by changing a digit.

800778 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, 175 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (73416).

2⁸⁰⁰⁷⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880992).

800778 is an abundant number, since it is smaller than the sum of its proper divisors (961206).

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

800778 is a wasteful number, since it uses less digits than its factorization.

800778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 800778 is about 894.8620005342. The cubic root of 800778 is about 92.8618598900.

The spelling of 800778 in words is "eight hundred thousand, seven hundred seventy-eight".