677305200 has 240 divisors, whose sum is σ = 2549586816. Its totient is φ = 151526400.

The previous prime is 677305193. The next prime is 677305201. The reversal of 677305200 is 2503776.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677305201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169627 + ... + 173573.

Almost surely, 2^677305200 is an apocalyptic number.

677305200 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 677305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274793408).

677305200 is an abundant number, since it is smaller than the sum of its proper divisors (1872281616).

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

677305200 is a wasteful number, since it uses less digits than its factorization.

677305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 677305200 is about 26025.0878961052. The cubic root of 677305200 is about 878.2027714033.

Adding to 677305200 its reverse (2503776), we get a palindrome (679808976).

The spelling of 677305200 in words is "six hundred seventy-seven million, three hundred five thousand, two hundred".