778985712 has 120 divisors (see below), whose sum is σ = 2394787200. Its totient is φ = 235281024.

The previous prime is 778985687. The next prime is 778985717. The reversal of 778985712 is 217589877.

It is a happy number.

778985712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×778985712³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778985717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56739 + ... + 69117.

It is an arithmetic number, because the mean of its divisors is an integer number (19956560).

Almost surely, 2^778985712 is an apocalyptic number.

778985712 is a gapful number since it is divisible by the number (72) 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 778985712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197393600).

778985712 is an abundant number, since it is smaller than the sum of its proper divisors (1615801488).

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

778985712 is a wasteful number, since it uses less digits than its factorization.

778985712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12435 (or 12426 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 54.

The square root of 778985712 is about 27910.3155123693. The cubic root of 778985712 is about 920.1172314379.

The spelling of 778985712 in words is "seven hundred seventy-eight million, nine hundred eighty-five thousand, seven hundred twelve".