780800 has 60 divisors (see below), whose sum is σ = 1966206. Its totient is φ = 307200.

The previous prime is 780799. The next prime is 780803. The reversal of 780800 is 8087.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 430336 = 592^2 + 656^2 .

It is not an unprimeable number, because it can be changed into a prime (780803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12770 + ... + 12830.

2⁷⁸⁰⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983103).

780800 is an abundant number, since it is smaller than the sum of its proper divisors (1185406).

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

780800 is an equidigital number, since it uses as much as digits as its factorization.

780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 780800 is about 883.6288813750. The cubic root of 780800 is about 92.0831007185.

Adding to 780800 its reverse (8087), we get a palindrome (788887).

The spelling of 780800 in words is "seven hundred eighty thousand, eight hundred".