58078800 has 360 divisors, whose sum is σ = 232969464. Its totient is φ = 13271040.

The previous prime is 58078799. The next prime is 58078807. The reversal of 58078800 is 887085.

58078800 is a `hidden beast` number, since 580 + 78 + 8 + 0 + 0 = 666.

58078800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15776784 + 42302016 = 3972^2 + 6504^2 .

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

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 (58078807) by changing a digit.

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, 795564 + ... + 795636.

Almost surely, 2^58078800 is an apocalyptic number.

58078800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484732).

58078800 is an abundant number, since it is smaller than the sum of its proper divisors (174890664).

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

58078800 is a wasteful number, since it uses less digits than its factorization.

58078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 58078800 is about 7620.9448233142. The cubic root of 58078800 is about 387.2628865028.

The spelling of 58078800 in words is "fifty-eight million, seventy-eight thousand, eight hundred".