53578080 has 144 divisors (see below), whose sum is σ = 189287280. Its totient is φ = 13784064.

The previous prime is 53578079. The next prime is 53578087. The reversal of 53578080 is 8087535.

It is a happy number.

53578080 is a `hidden beast` number, since 5 + 3 + 578 + 0 + 80 = 666.

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

It is a super-2 number, since 2×53578080² = 5741221312972800, which contains 22 as substring.

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 (53578087) 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, 41119 + ... + 42401.

It is an arithmetic number, because the mean of its divisors is an integer number (1314495).

Almost surely, 2^53578080 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 53578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94643640).

53578080 is an abundant number, since it is smaller than the sum of its proper divisors (135709200).

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

53578080 is a wasteful number, since it uses less digits than its factorization.

53578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 53578080 is about 7319.7049120849. The cubic root of 53578080 is about 376.9893216046.

The spelling of 53578080 in words is "fifty-three million, five hundred seventy-eight thousand, eighty".