778720 has 48 divisors (see below), whose sum is σ = 1911168. Its totient is φ = 299520.

The previous prime is 778717. The next prime is 778727. The reversal of 778720 is 27877.

778720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4882 + ... + 5038.

It is an arithmetic number, because the mean of its divisors is an integer number (39816).

2⁷⁷⁸⁷²⁰ 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 778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955584).

778720 is an abundant number, since it is smaller than the sum of its proper divisors (1132448).

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

778720 is a wasteful number, since it uses less digits than its factorization.

778720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 778720 is about 882.4511317914. The cubic root of 778720 is about 92.0012602222.

The spelling of 778720 in words is "seven hundred seventy-eight thousand, seven hundred twenty".