677041200 has 480 divisors, whose sum is σ = 2712326400. Its totient is φ = 158976000.

The previous prime is 677041199. The next prime is 677041219. The reversal of 677041200 is 2140776.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4870731 + ... + 4870869.

It is an arithmetic number, because the mean of its divisors is an integer number (5650680).

Almost surely, 2^677041200 is an apocalyptic number.

677041200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356163200).

677041200 is an abundant number, since it is smaller than the sum of its proper divisors (2035285200).

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

677041200 is a wasteful number, since it uses less digits than its factorization.

677041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 677041200 is about 26020.0153727856. The cubic root of 677041200 is about 878.0886546255.

Adding to 677041200 its reverse (2140776), we get a palindrome (679181976).

The spelling of 677041200 in words is "six hundred seventy-seven million, forty-one thousand, two hundred".