977820 has 48 divisors (see below), whose sum is σ = 2808960. Its totient is φ = 254016.

The previous prime is 977819. The next prime is 977831. The reversal of 977820 is 28779.

It is a super-2 number, since 2×977820² = 1912263904800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 977820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (58520).

2⁹⁷⁷⁸²⁰ 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 977820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404480).

977820 is an abundant number, since it is smaller than the sum of its proper divisors (1831140).

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

977820 is a wasteful number, since it uses less digits than its factorization.

977820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 977820 is about 988.8478143779. The cubic root of 977820 is about 99.2551321615.

The spelling of 977820 in words is "nine hundred seventy-seven thousand, eight hundred twenty".