677125120 has 132 divisors (see below), whose sum is σ = 1890199800. Its totient is φ = 232071168.

The previous prime is 677125117. The next prime is 677125121. The reversal of 677125120 is 21521776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677125121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249531 + ... + 252229.

Almost surely, 2^677125120 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 677125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945099900).

677125120 is an abundant number, since it is smaller than the sum of its proper divisors (1213074680).

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

677125120 is a wasteful number, since it uses less digits than its factorization.

677125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 677125120 is about 26021.6279275529. The cubic root of 677125120 is about 878.1249331442.

Adding to 677125120 its reverse (21521776), we get a palindrome (698646896).

The spelling of 677125120 in words is "six hundred seventy-seven million, one hundred twenty-five thousand, one hundred twenty".