677844400 has 120 divisors (see below), whose sum is σ = 1746544464. Its totient is φ = 251904000.

The previous prime is 677844397. The next prime is 677844407. The reversal of 677844400 is 4448776.

It is a super-2 number, since 2×677844400² = 918946061222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (677844407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563800 + ... + 565000.

Almost surely, 2^677844400 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 677844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873272232).

677844400 is an abundant number, since it is smaller than the sum of its proper divisors (1068700064).

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

677844400 is a wasteful number, since it uses less digits than its factorization.

677844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 677844400 is about 26035.4450701347. The cubic root of 677844400 is about 878.4357541770.

The spelling of 677844400 in words is "six hundred seventy-seven million, eight hundred forty-four thousand, four hundred".