677656320 has 288 divisors, whose sum is σ = 2408845824. Its totient is φ = 160972800.

The previous prime is 677656313. The next prime is 677656327. The reversal of 677656320 is 23656776.

It is an interprime number because it is at equal distance from previous prime (677656313) and next prime (677656327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677656327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2576509 + ... + 2576771.

It is an arithmetic number, because the mean of its divisors is an integer number (8364048).

Almost surely, 2^677656320 is an apocalyptic number.

677656320 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 677656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204422912).

677656320 is an abundant number, since it is smaller than the sum of its proper divisors (1731189504).

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

677656320 is a wasteful number, since it uses less digits than its factorization.

677656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 677656320 is about 26031.8328206064. The cubic root of 677656320 is about 878.3545007803.

The spelling of 677656320 in words is "six hundred seventy-seven million, six hundred fifty-six thousand, three hundred twenty".