778320 has 120 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 194304.

The previous prime is 778319. The next prime is 778333. The reversal of 778320 is 23877.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 778320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16537 + ... + 16583.

2⁷⁷⁸³²⁰ 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 778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

778320 is an abundant number, since it is smaller than the sum of its proper divisors (2007216).

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

778320 is a wasteful number, since it uses less digits than its factorization.

778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 778320 is about 882.2244612342. The cubic root of 778320 is about 91.9855049627.

The spelling of 778320 in words is "seven hundred seventy-eight thousand, three hundred twenty".