677544120 has 384 divisors, whose sum is σ = 2579765760. Its totient is φ = 152570880.

The previous prime is 677544089. The next prime is 677544121. The reversal of 677544120 is 21445776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677544121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3916354 + ... + 3916526.

It is an arithmetic number, because the mean of its divisors is an integer number (6718140).

Almost surely, 2^677544120 is an apocalyptic number.

677544120 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 677544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289882880).

677544120 is an abundant number, since it is smaller than the sum of its proper divisors (1902221640).

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

677544120 is a wasteful number, since it uses less digits than its factorization.

677544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 677544120 is about 26029.6776776048. The cubic root of 677544120 is about 878.3060215283.

Adding to 677544120 its reverse (21445776), we get a palindrome (698989896).

The spelling of 677544120 in words is "six hundred seventy-seven million, five hundred forty-four thousand, one hundred twenty".