977730 has 64 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 228096.

The previous prime is 977723. The next prime is 977747. The reversal of 977730 is 37779.

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 977691 and 977700.

It is a congruent number.

It is an unprimeable number.

977730 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 31 ways as a sum of consecutive naturals, for example, 8916 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁹⁷⁷⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

977730 is an abundant number, since it is smaller than the sum of its proper divisors (1683390).

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

977730 is a wasteful number, since it uses less digits than its factorization.

977730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 9261, while the sum is 33.

The square root of 977730 is about 988.8023058226. The cubic root of 977730 is about 99.2520868716.

The spelling of 977730 in words is "nine hundred seventy-seven thousand, seven hundred thirty".