777920 has 112 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 245760.

The previous prime is 777919. The next prime is 777977. The reversal of 777920 is 29777.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45752 + ... + 45768.

It is an arithmetic number, because the mean of its divisors is an integer number (20574).

2⁷⁷⁷⁹²⁰ 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 777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

777920 is an abundant number, since it is smaller than the sum of its proper divisors (1526368).

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

777920 is a wasteful number, since it uses less digits than its factorization.

777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 777920 is about 881.9977324234. The cubic root of 777920 is about 91.9697443043.

777920 divided by its sum of digits (32) gives a triangular number (24310 = T₂₂₀).

It can be divided in two parts, 77 and 7920, that added together give a palindrome (7997).

The spelling of 777920 in words is "seven hundred seventy-seven thousand, nine hundred twenty".