58978800 has 240 divisors, whose sum is σ = 216494080. Its totient is φ = 15240960.

The previous prime is 58978789. The next prime is 58978811. The reversal of 58978800 is 887985.

It is an interprime number because it is at equal distance from previous prime (58978789) and next prime (58978811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464337 + ... + 464463.

Almost surely, 2^58978800 is an apocalyptic number.

58978800 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 58978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108247040).

58978800 is an abundant number, since it is smaller than the sum of its proper divisors (157515280).

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

58978800 is a wasteful number, since it uses less digits than its factorization.

58978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 58978800 is about 7679.7656214236. The cubic root of 58978800 is about 389.2530080217.

The spelling of 58978800 in words is "fifty-eight million, nine hundred seventy-eight thousand, eight hundred".