778800000 has 384 divisors, whose sum is σ = 2868566400. Its totient is φ = 185600000.

The previous prime is 778799977. The next prime is 778800019. The reversal of 778800000 is 8877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199971 + ... + 13200029.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2^778800000 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 778800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

778800000 is an abundant number, since it is smaller than the sum of its proper divisors (2089766400).

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

778800000 is an equidigital number, since it uses as much as digits as its factorization.

778800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 778800000 is about 27906.9883720906. The cubic root of 778800000 is about 920.0441062660.

Adding to 778800000 its reverse (8877), we get a palindrome (778808877).

The spelling of 778800000 in words is "seven hundred seventy-eight million, eight hundred thousand".