778045440 has 384 divisors, whose sum is σ = 2767564800. Its totient is φ = 185794560.

The previous prime is 778045427. The next prime is 778045441. The reversal of 778045440 is 44540877.

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

It is not an unprimeable number, because it can be changed into a prime (778045441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18094059 + ... + 18094101.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^778045440 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 778045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

778045440 is an abundant number, since it is smaller than the sum of its proper divisors (1989519360).

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

778045440 is a wasteful number, since it uses less digits than its factorization.

778045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 778045440 is about 27893.4659015333. The cubic root of 778045440 is about 919.7468742816.

The spelling of 778045440 in words is "seven hundred seventy-eight million, forty-five thousand, four hundred forty".