780384 has 48 divisors (see below), whose sum is σ = 2237760. Its totient is φ = 236160.

The previous prime is 780383. The next prime is 780389. The reversal of 780384 is 483087.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (46620).

2⁷⁸⁰³⁸⁴ 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 780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).

780384 is an abundant number, since it is smaller than the sum of its proper divisors (1457376).

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

780384 is a wasteful number, since it uses less digits than its factorization.

780384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 780384 is about 883.3934570733. The cubic root of 780384 is about 92.0667442572.

It can be divided in two parts, 7803 and 84, that added together give a palindrome (7887).

The spelling of 780384 in words is "seven hundred eighty thousand, three hundred eighty-four".