677767040 has 128 divisors (see below), whose sum is σ = 1671127200. Its totient is φ = 262766592.

The previous prime is 677767037. The next prime is 677767049. The reversal of 677767040 is 40767776.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677766982 and 677767000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677767049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4157999 + ... + 4158161.

Almost surely, 2^677767040 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 677767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835563600).

677767040 is an abundant number, since it is smaller than the sum of its proper divisors (993360160).

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

677767040 is a wasteful number, since it uses less digits than its factorization.

677767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 44.

The square root of 677767040 is about 26033.9593608041. The cubic root of 677767040 is about 878.4023353101.

The spelling of 677767040 in words is "six hundred seventy-seven million, seven hundred sixty-seven thousand, forty".