526078080 has 576 divisors, whose sum is σ = 2182489920. Its totient is φ = 115568640.

The previous prime is 526078079. The next prime is 526078109. The reversal of 526078080 is 80870625.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22872949 + ... + 22872971.

It is an arithmetic number, because the mean of its divisors is an integer number (3789045).

Almost surely, 2^526078080 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 526078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091244960).

526078080 is an abundant number, since it is smaller than the sum of its proper divisors (1656411840).

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

526078080 is a wasteful number, since it uses less digits than its factorization.

526078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

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

The square root of 526078080 is about 22936.3920440857. The cubic root of 526078080 is about 807.2661375826.

The spelling of 526078080 in words is "five hundred twenty-six million, seventy-eight thousand, eighty".