677594880 has 216 divisors, whose sum is σ = 2367565200. Its totient is φ = 178913280.

The previous prime is 677594867. The next prime is 677594899. The reversal of 677594880 is 88495776.

It is a super-3 number, since 3×677594880³ (a number of 27 digits) contains 333 as substring.

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, 1508896 + ... + 1509344.

It is an arithmetic number, because the mean of its divisors is an integer number (10960950).

Almost surely, 2^677594880 is an apocalyptic number.

677594880 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 677594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183782600).

677594880 is an abundant number, since it is smaller than the sum of its proper divisors (1689970320).

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

677594880 is a wasteful number, since it uses less digits than its factorization.

677594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 677594880 is about 26030.6527002302. The cubic root of 677594880 is about 878.3279545159.

The spelling of 677594880 in words is "six hundred seventy-seven million, five hundred ninety-four thousand, eight hundred eighty".