532378080 has 144 divisors (see below), whose sum is σ = 1956558240. Its totient is φ = 131042304.

The previous prime is 532378061. The next prime is 532378087. The reversal of 532378080 is 80873235.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532378087) 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, 4501 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (13587210).

Almost surely, 2^532378080 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 532378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978279120).

532378080 is an abundant number, since it is smaller than the sum of its proper divisors (1424180160).

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

532378080 is a wasteful number, since it uses less digits than its factorization.

532378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28473 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 532378080 is about 23073.3196571278. The cubic root of 532378080 is about 810.4758064118.

The spelling of 532378080 in words is "five hundred thirty-two million, three hundred seventy-eight thousand, eighty".