677199600 has 540 divisors, whose sum is σ = 2990824200. Its totient is φ = 140313600.

The previous prime is 677199599. The next prime is 677199629. The reversal of 677199600 is 6991776.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1940226 + ... + 1940574.

Almost surely, 2^677199600 is an apocalyptic number.

677199600 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 677199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495412100).

677199600 is an abundant number, since it is smaller than the sum of its proper divisors (2313624600).

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

677199600 is a wasteful number, since it uses less digits than its factorization.

677199600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 677199600 is about 26023.0590054282. The cubic root of 677199600 is about 878.1571282513.

The spelling of 677199600 in words is "six hundred seventy-seven million, one hundred ninety-nine thousand, six hundred".