778466160 has 160 divisors (see below), whose sum is σ = 2718665280. Its totient is φ = 204705792.

The previous prime is 778466147. The next prime is 778466177. The reversal of 778466160 is 61664877.

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 31 ways as a sum of consecutive naturals, for example, 155212 + ... + 160148.

It is an arithmetic number, because the mean of its divisors is an integer number (16991658).

Almost surely, 2^778466160 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 778466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359332640).

778466160 is an abundant number, since it is smaller than the sum of its proper divisors (1940199120).

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

778466160 is a wasteful number, since it uses less digits than its factorization.

778466160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 778466160 is about 27901.0064334604. The cubic root of 778466160 is about 919.9126256026.

The spelling of 778466160 in words is "seven hundred seventy-eight million, four hundred sixty-six thousand, one hundred sixty".