677027400 has 192 divisors, whose sum is σ = 2410798080. Its totient is φ = 153964800.

The previous prime is 677027381. The next prime is 677027411. The reversal of 677027400 is 4720776.

It is a happy number.

It is a super-2 number, since 2×677027400² = 916732200701520000, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1389957 + ... + 1390443.

It is an arithmetic number, because the mean of its divisors is an integer number (12556240).

Almost surely, 2^677027400 is an apocalyptic number.

677027400 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 677027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205399040).

677027400 is an abundant number, since it is smaller than the sum of its proper divisors (1733770680).

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

677027400 is a wasteful number, since it uses less digits than its factorization.

677027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 677027400 is about 26019.7501909607. The cubic root of 677027400 is about 878.0826886145.

The spelling of 677027400 in words is "six hundred seventy-seven million, twenty-seven thousand, four hundred".