977832 has 48 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 325296.

The previous prime is 977831. The next prime is 977849. The reversal of 977832 is 238779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1693 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2⁹⁷⁷⁸³² 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 977832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

977832 is an abundant number, since it is smaller than the sum of its proper divisors (1774008).

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

977832 is a wasteful number, since it uses less digits than its factorization.

977832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 977832 is about 988.8538820271. The cubic root of 977832 is about 99.2555381860.

It can be divided in two parts, 9 and 77832, that added together give a square (77841 = 279²).

The spelling of 977832 in words is "nine hundred seventy-seven thousand, eight hundred thirty-two".