778982400000 has 2016 divisors, whose sum is σ = 3501642130560. Its totient is φ = 170311680000.

The previous prime is 778982399983. The next prime is 778982400041. The reversal of 778982400000 is 4289877.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33868799989 + ... + 33868800011.

It is an arithmetic number, because the mean of its divisors is an integer number (1736925660).

Almost surely, 2^778982400000 is an apocalyptic number.

778982400000 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 778982400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750821065280).

778982400000 is an abundant number, since it is smaller than the sum of its proper divisors (2722659730560).

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

778982400000 is an frugal number, since it uses more digits than its factorization.

778982400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 778982400000 its reverse (4289877), we get a palindrome (778986689877).

The spelling of 778982400000 in words is "seven hundred seventy-eight billion, nine hundred eighty-two million, four hundred thousand".