778997760 has 208 divisors, whose sum is σ = 2579182080. Its totient is φ = 200540160.

The previous prime is 778997753. The next prime is 778997789. The reversal of 778997760 is 67799877.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 778997694 and 778997703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904436 + ... + 1904844.

Almost surely, 2^778997760 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 778997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289591040).

778997760 is an abundant number, since it is smaller than the sum of its proper divisors (1800184320).

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

778997760 is a wasteful number, since it uses less digits than its factorization.

778997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 60.

The square root of 778997760 is about 27910.5313457125. The cubic root of 778997760 is about 920.1219750060.

The spelling of 778997760 in words is "seven hundred seventy-eight million, nine hundred ninety-seven thousand, seven hundred sixty".