780400 has 30 divisors (see below), whose sum is σ = 1875872. Its totient is φ = 312000.

The previous prime is 780397. The next prime is 780401. The reversal of 780400 is 4087.

It is a happy number.

780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780401) 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, 576 + ... + 1375.

2⁷⁸⁰⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

780400 is an abundant number, since it is smaller than the sum of its proper divisors (1095472).

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

780400 is a wasteful number, since it uses less digits than its factorization.

780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 780400 is about 883.4025130143. The cubic root of 780400 is about 92.0673734593.

Adding to 780400 its reverse (4087), we get a palindrome (784487).

The spelling of 780400 in words is "seven hundred eighty thousand, four hundred".