778349520 has 320 divisors, whose sum is σ = 2947311360. Its totient is φ = 187619328.

The previous prime is 778349503. The next prime is 778349549. The reversal of 778349520 is 25943877.

778349520 is a `hidden beast` number, since 7 + 7 + 83 + 49 + 520 = 666.

778349520 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1487979 + ... + 1488501.

It is an arithmetic number, because the mean of its divisors is an integer number (9210348).

Almost surely, 2^778349520 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 778349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473655680).

778349520 is an abundant number, since it is smaller than the sum of its proper divisors (2168961840).

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

778349520 is a wasteful number, since it uses less digits than its factorization.

778349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 778349520 is about 27898.9161079781. The cubic root of 778349520 is about 919.8666788534.

The spelling of 778349520 in words is "seven hundred seventy-eight million, three hundred forty-nine thousand, five hundred twenty".