977200 has 60 divisors (see below), whose sum is σ = 2690800. Its totient is φ = 334080.

The previous prime is 977191. The next prime is 977203. The reversal of 977200 is 2779.

977200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (977203) by changing a digit.

977200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2626 + ... + 2974.

2⁹⁷⁷²⁰⁰ 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 977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345400).

977200 is an abundant number, since it is smaller than the sum of its proper divisors (1713600).

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

977200 is a wasteful number, since it uses less digits than its factorization.

977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 977200 is about 988.5342685006. The cubic root of 977200 is about 99.2341497063.

Adding to 977200 its reverse (2779), we get a palindrome (979979).

The spelling of 977200 in words is "nine hundred seventy-seven thousand, two hundred".