778647072 has 192 divisors, whose sum is σ = 2438553600. Its totient is φ = 212920320.

The previous prime is 778647041. The next prime is 778647097. The reversal of 778647072 is 270746877.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625329 + ... + 1625807.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^778647072 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 778647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

778647072 is an abundant number, since it is smaller than the sum of its proper divisors (1659906528).

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

778647072 is a wasteful number, since it uses less digits than its factorization.

778647072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The square root of 778647072 is about 27904.2482787120. The cubic root of 778647072 is about 919.9838812551.

The spelling of 778647072 in words is "seven hundred seventy-eight million, six hundred forty-seven thousand, seventy-two".