780040800 has 864 divisors, whose sum is σ = 3633517440. Its totient is φ = 159667200.

The previous prime is 780040799. The next prime is 780040813. The reversal of 780040800 is 8040087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642367 + ... + 11642433.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^780040800 is an apocalyptic number.

780040800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816758720).

780040800 is an abundant number, since it is smaller than the sum of its proper divisors (2853476640).

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

780040800 is a wasteful number, since it uses less digits than its factorization.

780040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 780040800 is about 27929.2105151578. The cubic root of 780040800 is about 920.5324580014.

Adding to 780040800 its reverse (8040087), we get a palindrome (788080887).

The spelling of 780040800 in words is "seven hundred eighty million, forty thousand, eight hundred".