677160000 has 700 divisors, whose sum is σ = 2880390480. Its totient is φ = 155520000.

The previous prime is 677159999. The next prime is 677160013. The reversal of 677160000 is 61776.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 35639991 + ... + 35640009.

Almost surely, 2^677160000 is an apocalyptic number.

677160000 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 677160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440195240).

677160000 is an abundant number, since it is smaller than the sum of its proper divisors (2203230480).

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

677160000 is a wasteful number, since it uses less digits than its factorization.

677160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 677160000 is about 26022.2981306417. The cubic root of 677160000 is about 878.1400108459.

The spelling of 677160000 in words is "six hundred seventy-seven million, one hundred sixty thousand".