677445120 has 480 divisors, whose sum is σ = 2677641120. Its totient is φ = 164229120.

The previous prime is 677445101. The next prime is 677445143. The reversal of 677445120 is 21544776.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×677445120² = 917863781223628800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61585915 + ... + 61585925.

It is an arithmetic number, because the mean of its divisors is an integer number (5578419).

Almost surely, 2^677445120 is an apocalyptic number.

677445120 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 677445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338820560).

677445120 is an abundant number, since it is smaller than the sum of its proper divisors (2000196000).

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

677445120 is an frugal number, since it uses more digits than its factorization.

677445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

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

The square root of 677445120 is about 26027.7759326455. The cubic root of 677445120 is about 878.2632412729.

Adding to 677445120 its reverse (21544776), we get a palindrome (698989896).

The spelling of 677445120 in words is "six hundred seventy-seven million, four hundred forty-five thousand, one hundred twenty".