780900 has 72 divisors (see below), whose sum is σ = 2395680. Its totient is φ = 195840.

The previous prime is 780889. The next prime is 780917. The reversal of 780900 is 9087.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5632 + ... + 5768.

2⁷⁸⁰⁹⁰⁰ 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 780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197840).

780900 is an abundant number, since it is smaller than the sum of its proper divisors (1614780).

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

780900 is a wasteful number, since it uses less digits than its factorization.

780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 780900 is about 883.6854644046. The cubic root of 780900 is about 92.0870316940.

Adding to 780900 its reverse (9087), we get a palindrome (789987).

The spelling of 780900 in words is "seven hundred eighty thousand, nine hundred".