777980 has 24 divisors (see below), whose sum is σ = 1867488. Its totient is φ = 266688.

The previous prime is 777979. The next prime is 777989. The reversal of 777980 is 89777.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777989) 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, 2639 + ... + 2918.

It is an arithmetic number, because the mean of its divisors is an integer number (77812).

2⁷⁷⁷⁹⁸⁰ is an apocalyptic number.

777980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

777980 is an abundant number, since it is smaller than the sum of its proper divisors (1089508).

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

777980 is a wasteful number, since it uses less digits than its factorization.

777980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 38.

The square root of 777980 is about 882.0317454604. The cubic root of 777980 is about 91.9721087474.

The spelling of 777980 in words is "seven hundred seventy-seven thousand, nine hundred eighty".