778440000 has 280 divisors, whose sum is σ = 2777236000. Its totient is φ = 191232000.

The previous prime is 778439993. The next prime is 778440029. The reversal of 778440000 is 44877.

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

It is a self number, because there is not a number n which added to its sum of digits gives 778440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559751 + ... + 1560249.

It is an arithmetic number, because the mean of its divisors is an integer number (9918700).

Almost surely, 2^778440000 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 778440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388618000).

778440000 is an abundant number, since it is smaller than the sum of its proper divisors (1998796000).

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

778440000 is a wasteful number, since it uses less digits than its factorization.

778440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 778440000 is about 27900.5376292286. The cubic root of 778440000 is about 919.9023210725.

Adding to 778440000 its reverse (44877), we get a palindrome (778484877).

The spelling of 778440000 in words is "seven hundred seventy-eight million, four hundred forty thousand".