677989920 has 192 divisors, whose sum is σ = 2380855680. Its totient is φ = 161169408.

The previous prime is 677989877. The next prime is 677989957. The reversal of 677989920 is 29989776.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 152854 + ... + 157226.

It is an arithmetic number, because the mean of its divisors is an integer number (12400290).

Almost surely, 2^677989920 is an apocalyptic number.

677989920 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 677989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190427840).

677989920 is an abundant number, since it is smaller than the sum of its proper divisors (1702865760).

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

677989920 is a wasteful number, since it uses less digits than its factorization.

677989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 677989920 is about 26038.2395718297. The cubic root of 677989920 is about 878.4986106990.

The spelling of 677989920 in words is "six hundred seventy-seven million, nine hundred eighty-nine thousand, nine hundred twenty".