776880 has 120 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 188928.

The previous prime is 776879. The next prime is 776887. The reversal of 776880 is 88677.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 776880.

It is not an unprimeable number, because it can be changed into a prime (776887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9319 + ... + 9401.

2⁷⁷⁶⁸⁸⁰ 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 776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

776880 is an abundant number, since it is smaller than the sum of its proper divisors (2066688).

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

776880 is a wasteful number, since it uses less digits than its factorization.

776880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 776880 is about 881.4079645658. The cubic root of 776880 is about 91.9287412921.

The spelling of 776880 in words is "seven hundred seventy-six thousand, eight hundred eighty".