977800 has 24 divisors (see below), whose sum is σ = 2273850. Its totient is φ = 391040.

The previous prime is 977791. The next prime is 977803. The reversal of 977800 is 8779.

It can be written as a sum of positive squares in 3 ways, for example, as 806404 + 171396 = 898^2 + 414^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (977803) by changing a digit.

977800 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 5 ways as a sum of consecutive naturals, for example, 2245 + ... + 2644.

2⁹⁷⁷⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

977800 is an abundant number, since it is smaller than the sum of its proper divisors (1296050).

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

977800 is a wasteful number, since it uses less digits than its factorization.

977800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 977800 is about 988.8377015466. The cubic root of 977800 is about 99.2544554466.

The spelling of 977800 in words is "nine hundred seventy-seven thousand, eight hundred".