677364000 has 192 divisors, whose sum is σ = 2268145152. Its totient is φ = 176640000.

The previous prime is 677363977. The next prime is 677364011. The reversal of 677364000 is 463776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563400 + ... + 564600.

It is an arithmetic number, because the mean of its divisors is an integer number (11813256).

Almost surely, 2^677364000 is an apocalyptic number.

677364000 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 677364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134072576).

677364000 is an abundant number, since it is smaller than the sum of its proper divisors (1590781152).

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

677364000 is a wasteful number, since it uses less digits than its factorization.

677364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 677364000 is about 26026.2175507698. The cubic root of 677364000 is about 878.2281842840.

The spelling of 677364000 in words is "six hundred seventy-seven million, three hundred sixty-four thousand".