677688120 has 192 divisors, whose sum is σ = 2308007520. Its totient is φ = 178827264.

The previous prime is 677688103. The next prime is 677688133. The reversal of 677688120 is 21886776.

It is a super-2 number, since 2×677688120² = 918522375978268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098052 + ... + 1098668.

Almost surely, 2^677688120 is an apocalyptic number.

677688120 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 677688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154003760).

677688120 is an abundant number, since it is smaller than the sum of its proper divisors (1630319400).

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

677688120 is a wasteful number, since it uses less digits than its factorization.

677688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 677688120 is about 26032.4436040876. The cubic root of 677688120 is about 878.3682399159.

The spelling of 677688120 in words is "six hundred seventy-seven million, six hundred eighty-eight thousand, one hundred twenty".