778847040 has 168 divisors, whose sum is σ = 2751688680. Its totient is φ = 202051584.

The previous prime is 778847039. The next prime is 778847063. The reversal of 778847040 is 40748877.

It can be written as a sum of positive squares in 4 ways, for example, as 192432384 + 586414656 = 13872^2 + 24216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102906 + ... + 110214.

Almost surely, 2^778847040 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 778847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375844340).

778847040 is an abundant number, since it is smaller than the sum of its proper divisors (1972841640).

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

778847040 is a wasteful number, since it uses less digits than its factorization.

778847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 778847040 is about 27907.8311590134. The cubic root of 778847040 is about 920.0626296368.

The spelling of 778847040 in words is "seven hundred seventy-eight million, eight hundred forty-seven thousand, forty".