780580800 has 420 divisors, whose sum is σ = 3029757720. Its totient is φ = 196577280.

The previous prime is 780580799. The next prime is 780580807. The reversal of 780580800 is 8085087.

780580800 is a `hidden beast` number, since 78 + 0 + 580 + 8 + 0 + 0 = 666.

780580800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780580807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462242 + ... + 2462558.

Almost surely, 2^780580800 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 780580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514878860).

780580800 is an abundant number, since it is smaller than the sum of its proper divisors (2249176920).

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

780580800 is a wasteful number, since it uses less digits than its factorization.

780580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 780580800 is about 27938.8761406038. The cubic root of 780580800 is about 920.7448284590.

The spelling of 780580800 in words is "seven hundred eighty million, five hundred eighty thousand, eight hundred".