58781400 has 72 divisors (see below), whose sum is σ = 182806380. Its totient is φ = 15624960.

The previous prime is 58781389. The next prime is 58781407. The reversal of 58781400 is 418785.

It is a happy number.

58781400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58781407) 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 17 ways as a sum of consecutive naturals, for example, 187644 + ... + 187956.

Almost surely, 2^58781400 is an apocalyptic number.

58781400 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 58781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91403190).

58781400 is an abundant number, since it is smaller than the sum of its proper divisors (124024980).

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

58781400 is a wasteful number, since it uses less digits than its factorization.

58781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 58781400 is about 7666.9028949113. The cubic root of 58781400 is about 388.8182505108.

The spelling of 58781400 in words is "fifty-eight million, seven hundred eighty-one thousand, four hundred".