778960 has 80 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 244224.

The previous prime is 778951. The next prime is 778963. The reversal of 778960 is 69877.

778960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778963) 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, 7227 + ... + 7333.

2⁷⁷⁸⁹⁶⁰ is an apocalyptic number.

778960 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 778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

778960 is an abundant number, since it is smaller than the sum of its proper divisors (1470896).

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

778960 is a wasteful number, since it uses less digits than its factorization.

778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 778960 is about 882.5871061827. The cubic root of 778960 is about 92.0107107883.

The spelling of 778960 in words is "seven hundred seventy-eight thousand, nine hundred sixty".