677201000 has 128 divisors (see below), whose sum is σ = 1833062400. Its totient is φ = 229363200.

The previous prime is 677200969. The next prime is 677201017. The reversal of 677201000 is 102776.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622457 + ... + 623543.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^677201000 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 677201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

677201000 is an abundant number, since it is smaller than the sum of its proper divisors (1155861400).

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

677201000 is a wasteful number, since it uses less digits than its factorization.

677201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 677201000 is about 26023.0859046348. The cubic root of 677201000 is about 878.1577333998.

Adding to 677201000 its reverse (102776), we get a palindrome (677303776).

The spelling of 677201000 in words is "six hundred seventy-seven million, two hundred one thousand".