977340 has 96 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 205056.

The previous prime is 977323. The next prime is 977351. The reversal of 977340 is 43779.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 9² + 7⁶ + 3⁹ + 7⁷ + 4⁷ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 977298 and 977307.

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 977340.

It is an unprimeable number.

977340 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5371 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁹⁷⁷³⁴⁰ 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 977340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

977340 is an abundant number, since it is smaller than the sum of its proper divisors (2409540).

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

977340 is a wasteful number, since it uses less digits than its factorization.

977340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 977340 is about 988.6050778749. The cubic root of 977340 is about 99.2388884557.

The spelling of 977340 in words is "nine hundred seventy-seven thousand, three hundred forty".