577157672 has 96 divisors (see below), whose sum is σ = 1392781320. Its totient is φ = 222082560.

The previous prime is 577157671. The next prime is 577157687. The reversal of 577157672 is 276751775.

It can be written as a sum of positive squares in 4 ways, for example, as 573794116 + 3363556 = 23954^2 + 1834^2 .

It is a super-2 number, since 2×577157672² = 666221956696919168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (577157671) 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 23 ways as a sum of consecutive naturals, for example, 187022 + ... + 190082.

Almost surely, 2^577157672 is an apocalyptic number.

577157672 is a gapful number since it is divisible by the number (52) 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 577157672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696390660).

577157672 is an abundant number, since it is smaller than the sum of its proper divisors (815623648).

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

577157672 is a wasteful number, since it uses less digits than its factorization.

577157672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3120 counting only the distinct ones).

The product of its digits is 720300, while the sum is 47.

The square root of 577157672 is about 24024.1060603719. The cubic root of 577157672 is about 832.5905762866.

The spelling of 577157672 in words is "five hundred seventy-seven million, one hundred fifty-seven thousand, six hundred seventy-two".