52678080 has 448 divisors, whose sum is σ = 232135680. Its totient is φ = 10948608.

The previous prime is 52678063. The next prime is 52678141. The reversal of 52678080 is 8087625.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×52678080² = 5549960224972800, 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786207 + ... + 786273.

It is an arithmetic number, because the mean of its divisors is an integer number (518160).

Almost surely, 2^52678080 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 52678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116067840).

52678080 is an abundant number, since it is smaller than the sum of its proper divisors (179457600).

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

52678080 is a wasteful number, since it uses less digits than its factorization.

52678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 52678080 is about 7257.9666574048. The cubic root of 52678080 is about 374.8665124885.

It can be divided in two parts, 526 and 78080, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 52678080 in words is "fifty-two million, six hundred seventy-eight thousand, eighty".