776980 has 24 divisors (see below), whose sum is σ = 1664712. Its totient is φ = 304512.

The previous prime is 776977. The next prime is 776983. The reversal of 776980 is 89677.

It is an interprime number because it is at equal distance from previous prime (776977) and next prime (776983).

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 412164 = 604^2 + 642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776983) 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 7 ways as a sum of consecutive naturals, for example, 694 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (69363).

2⁷⁷⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

776980 is an abundant number, since it is smaller than the sum of its proper divisors (887732).

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

776980 is a wasteful number, since it uses less digits than its factorization.

776980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 793 counting only the distinct ones).

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

The square root of 776980 is about 881.4646901606. The cubic root of 776980 is about 91.9326854789.

The spelling of 776980 in words is "seven hundred seventy-six thousand, nine hundred eighty".