677142200 has 96 divisors (see below), whose sum is σ = 1826371200. Its totient is φ = 228666240.

The previous prime is 677142173. The next prime is 677142203. The reversal of 677142200 is 2241776.

677142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677142203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90191 + ... + 97409.

It is an arithmetic number, because the mean of its divisors is an integer number (19024700).

Almost surely, 2^677142200 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 677142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913185600).

677142200 is an abundant number, since it is smaller than the sum of its proper divisors (1149229000).

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

677142200 is a wasteful number, since it uses less digits than its factorization.

677142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 677142200 is about 26021.9561140203. The cubic root of 677142200 is about 878.1323164413.

Adding to 677142200 its reverse (2241776), we get a palindrome (679383976).

The spelling of 677142200 in words is "six hundred seventy-seven million, one hundred forty-two thousand, two hundred".