677224400 has 60 divisors (see below), whose sum is σ = 1642341312. Its totient is φ = 268341120.

The previous prime is 677224399. The next prime is 677224403. The reversal of 677224400 is 4422776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677224403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34889 + ... + 50711.

Almost surely, 2^677224400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821170656).

677224400 is an abundant number, since it is smaller than the sum of its proper divisors (965116912).

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

677224400 is a wasteful number, since it uses less digits than its factorization.

677224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 677224400 is about 26023.5355015417. The cubic root of 677224400 is about 878.1678479027.

The spelling of 677224400 in words is "six hundred seventy-seven million, two hundred twenty-four thousand, four hundred".