775880 has 64 divisors (see below), whose sum is σ = 2125440. Its totient is φ = 248832.

The previous prime is 775871. The next prime is 775889. The reversal of 775880 is 88577.

It is an interprime number because it is at equal distance from previous prime (775871) and next prime (775889).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 775880.

It is not an unprimeable number, because it can be changed into a prime (775889) by changing a digit.

775880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 4679 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2⁷⁷⁵⁸⁸⁰ is an apocalyptic number.

775880 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 775880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062720).

775880 is an abundant number, since it is smaller than the sum of its proper divisors (1349560).

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

775880 is a wasteful number, since it uses less digits than its factorization.

775880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 775880 is about 880.8405076971. The cubic root of 775880 is about 91.8892807949.

The spelling of 775880 in words is "seven hundred seventy-five thousand, eight hundred eighty".