778270020 has 192 divisors, whose sum is σ = 2551772160. Its totient is φ = 175219200.

The previous prime is 778270007. The next prime is 778270027. The reversal of 778270020 is 20072877.

It is a happy number.

778270020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (778270027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664035 + ... + 665205.

It is an arithmetic number, because the mean of its divisors is an integer number (13290480).

Almost surely, 2^778270020 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 778270020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275886080).

778270020 is an abundant number, since it is smaller than the sum of its proper divisors (1773502140).

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

778270020 is a wasteful number, since it uses less digits than its factorization.

778270020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 778270020 is about 27897.4912850600. The cubic root of 778270020 is about 919.8353596372.

The spelling of 778270020 in words is "seven hundred seventy-eight million, two hundred seventy thousand, twenty".