778628160 has 224 divisors, whose sum is σ = 2765877120. Its totient is φ = 206198784.

The previous prime is 778628003. The next prime is 778628161. The reversal of 778628160 is 61826877.

778628160 is a `hidden beast` number, since 7 + 7 + 8 + 628 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778628161) by changing a digit.

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, 1961082 + ... + 1961478.

Almost surely, 2^778628160 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 778628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382938560).

778628160 is an abundant number, since it is smaller than the sum of its proper divisors (1987248960).

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

778628160 is a wasteful number, since it uses less digits than its factorization.

778628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 778628160 is about 27903.9094035227. The cubic root of 778628160 is about 919.9764329187.

The spelling of 778628160 in words is "seven hundred seventy-eight million, six hundred twenty-eight thousand, one hundred sixty".