677660256 has 480 divisors, whose sum is σ = 2612554560. Its totient is φ = 168210432.

The previous prime is 677660237. The next prime is 677660257. The reversal of 677660256 is 652066776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677660257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39862360 + ... + 39862376.

It is an arithmetic number, because the mean of its divisors is an integer number (5442822).

Almost surely, 2^677660256 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 677660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306277280).

677660256 is an abundant number, since it is smaller than the sum of its proper divisors (1934894304).

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

677660256 is a wasteful number, since it uses less digits than its factorization.

677660256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 677660256 is about 26031.9084202446. The cubic root of 677660256 is about 878.3562013457.

The spelling of 677660256 in words is "six hundred seventy-seven million, six hundred sixty thousand, two hundred fifty-six".