531578880 has 360 divisors, whose sum is σ = 2126447232. Its totient is φ = 120324096.

The previous prime is 531578867. The next prime is 531578881. The reversal of 531578880 is 88875135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×531578880² = 565152211324108800, which contains 22 as substring.

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 (531578881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160909 + ... + 5161011.

Almost surely, 2^531578880 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 531578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063223616).

531578880 is an abundant number, since it is smaller than the sum of its proper divisors (1594868352).

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

531578880 is a wasteful number, since it uses less digits than its factorization.

531578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 531578880 is about 23055.9944482991. The cubic root of 531578880 is about 810.0700442400.

The spelling of 531578880 in words is "five hundred thirty-one million, five hundred seventy-eight thousand, eight hundred eighty".