778360 has 64 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 268800.

The previous prime is 778357. The next prime is 778361. The reversal of 778360 is 63877.

778360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12730 + ... + 12790.

2⁷⁷⁸³⁶⁰ 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 778360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

778360 is an abundant number, since it is smaller than the sum of its proper divisors (1230440).

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

778360 is a wasteful number, since it uses less digits than its factorization.

778360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 778360 is about 882.2471309106. The cubic root of 778360 is about 91.9870807316.

The spelling of 778360 in words is "seven hundred seventy-eight thousand, three hundred sixty".