577405680 has 160 divisors (see below), whose sum is σ = 1910931264. Its totient is φ = 143720448.

The previous prime is 577405679. The next prime is 577405681. The reversal of 577405680 is 86504775.

It is an interprime number because it is at equal distance from previous prime (577405679) and next prime (577405681).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577405681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558444 + ... + 559476.

Almost surely, 2^577405680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577405680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955465632).

577405680 is an abundant number, since it is smaller than the sum of its proper divisors (1333525584).

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

577405680 is a wasteful number, since it uses less digits than its factorization.

577405680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 577405680 is about 24029.2671548676. The cubic root of 577405680 is about 832.7098155426.

The spelling of 577405680 in words is "five hundred seventy-seven million, four hundred five thousand, six hundred eighty".