780086400 has 192 divisors, whose sum is σ = 2681881920. Its totient is φ = 198922240.

The previous prime is 780086339. The next prime is 780086407. The reversal of 780086400 is 4680087.

780086400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (780086407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219034 + ... + 222566.

It is an arithmetic number, because the mean of its divisors is an integer number (13968135).

Almost surely, 2^780086400 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 780086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340940960).

780086400 is an abundant number, since it is smaller than the sum of its proper divisors (1901795520).

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

780086400 is a wasteful number, since it uses less digits than its factorization.

780086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 780086400 is about 27930.0268528335. The cubic root of 780086400 is about 920.5503952949.

The spelling of 780086400 in words is "seven hundred eighty million, eighty-six thousand, four hundred".