677355000 has 160 divisors (see below), whose sum is σ = 2418725760. Its totient is φ = 154800000.

The previous prime is 677354957. The next prime is 677355011. The reversal of 677355000 is 553776.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101775 + ... + 108225.

It is an arithmetic number, because the mean of its divisors is an integer number (15117036).

Almost surely, 2^677355000 is an apocalyptic number.

677355000 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 677355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209362880).

677355000 is an abundant number, since it is smaller than the sum of its proper divisors (1741370760).

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

677355000 is a wasteful number, since it uses less digits than its factorization.

677355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 677355000 is about 26026.0446476217. The cubic root of 677355000 is about 878.2242946527.

The spelling of 677355000 in words is "six hundred seventy-seven million, three hundred fifty-five thousand".