778498560 has 320 divisors, whose sum is σ = 3162297600. Its totient is φ = 177831936.

The previous prime is 778498559. The next prime is 778498573. The reversal of 778498560 is 65894877.

778498560 is a `hidden beast` number, since 7 + 78 + 4 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 778498497 and 778498506.

It is a congruent number.

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, 483036 + ... + 484644.

It is an arithmetic number, because the mean of its divisors is an integer number (9882180).

Almost surely, 2^778498560 is an apocalyptic number.

778498560 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 778498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581148800).

778498560 is an abundant number, since it is smaller than the sum of its proper divisors (2383799040).

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

778498560 is a wasteful number, since it uses less digits than its factorization.

778498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 778498560 is about 27901.5870516356. The cubic root of 778498560 is about 919.9253877739.

The spelling of 778498560 in words is "seven hundred seventy-eight million, four hundred ninety-eight thousand, five hundred sixty".