677441400 has 96 divisors (see below), whose sum is σ = 2104024560. Its totient is φ = 180311040.

The previous prime is 677441339. The next prime is 677441411. The reversal of 677441400 is 4144776.

677441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619254 + ... + 620346.

Almost surely, 2^677441400 is an apocalyptic number.

677441400 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 677441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052012280).

677441400 is an abundant number, since it is smaller than the sum of its proper divisors (1426583160).

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

677441400 is a wasteful number, since it uses less digits than its factorization.

677441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 677441400 is about 26027.7044704292. The cubic root of 677441400 is about 878.2616336911.

The spelling of 677441400 in words is "six hundred seventy-seven million, four hundred forty-one thousand, four hundred".