677439360 has 384 divisors, whose sum is σ = 2572970400. Its totient is φ = 163233792.

The previous prime is 677439349. The next prime is 677439361. The reversal of 677439360 is 63934776.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677439361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6214986 + ... + 6215094.

Almost surely, 2^677439360 is an apocalyptic number.

677439360 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 677439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286485200).

677439360 is an abundant number, since it is smaller than the sum of its proper divisors (1895531040).

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

677439360 is a wasteful number, since it uses less digits than its factorization.

677439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 677439360 is about 26027.6652813886. The cubic root of 677439360 is about 878.2607521115.

The spelling of 677439360 in words is "six hundred seventy-seven million, four hundred thirty-nine thousand, three hundred sixty".