677833920 has 336 divisors, whose sum is σ = 2529596160. Its totient is φ = 172440576.

The previous prime is 677833903. The next prime is 677833921. The reversal of 677833920 is 29338776.

It is a happy number.

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 (677833921) 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 47 ways as a sum of consecutive naturals, for example, 1788291 + ... + 1788669.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^677833920 is an apocalyptic number.

677833920 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 677833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

677833920 is an abundant number, since it is smaller than the sum of its proper divisors (1851762240).

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

677833920 is a wasteful number, since it uses less digits than its factorization.

677833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 677833920 is about 26035.2438052729. The cubic root of 677833920 is about 878.4312270543.

The spelling of 677833920 in words is "six hundred seventy-seven million, eight hundred thirty-three thousand, nine hundred twenty".