778737960 has 384 divisors, whose sum is σ = 3399701760. Its totient is φ = 149299200.

The previous prime is 778737929. The next prime is 778737983. The reversal of 778737960 is 69737877.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 778737897 and 778737906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359280 + ... + 361440.

It is an arithmetic number, because the mean of its divisors is an integer number (8853390).

Almost surely, 2^778737960 is an apocalyptic number.

778737960 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 778737960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699850880).

778737960 is an abundant number, since it is smaller than the sum of its proper divisors (2620963800).

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

778737960 is a wasteful number, since it uses less digits than its factorization.

778737960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 778737960 is about 27905.8768004161. The cubic root of 778737960 is about 920.0196750676.

The spelling of 778737960 in words is "seven hundred seventy-eight million, seven hundred thirty-seven thousand, nine hundred sixty".