677458980 has 288 divisors, whose sum is σ = 2346664320. Its totient is φ = 156764160.

The previous prime is 677458967. The next prime is 677459017. The reversal of 677458980 is 89854776.

677458980 = 64³ + 65³ + ... + 228³.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6215166 + ... + 6215274.

It is an arithmetic number, because the mean of its divisors is an integer number (8148140).

Almost surely, 2^677458980 is an apocalyptic number.

677458980 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 677458980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173332160).

677458980 is an abundant number, since it is smaller than the sum of its proper divisors (1669205340).

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

677458980 is a wasteful number, since it uses less digits than its factorization.

677458980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 677458980 is about 26028.0421853047. The cubic root of 677458980 is about 878.2692307595.

The spelling of 677458980 in words is "six hundred seventy-seven million, four hundred fifty-eight thousand, nine hundred eighty".