58770400 has 72 divisors (see below), whose sum is σ = 154536984. Its totient is φ = 21696000.

The previous prime is 58770373. The next prime is 58770407. The reversal of 58770400 is 407785.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58770407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7575 + ... + 13225.

It is an arithmetic number, because the mean of its divisors is an integer number (2146347).

Almost surely, 2^58770400 is an apocalyptic number.

58770400 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 58770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77268492).

58770400 is an abundant number, since it is smaller than the sum of its proper divisors (95766584).

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

58770400 is a wasteful number, since it uses less digits than its factorization.

58770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 58770400 is about 7666.1854921467. The cubic root of 58770400 is about 388.7939952896.

The spelling of 58770400 in words is "fifty-eight million, seven hundred seventy thousand, four hundred".