5978800 has 30 divisors (see below), whose sum is σ = 14365028. Its totient is φ = 2391360.

The previous prime is 5978783. The next prime is 5978801. The reversal of 5978800 is 88795.

It is a self number, because there is not a number n which added to its sum of digits gives 5978800.

It is not an unprimeable number, because it can be changed into a prime (5978801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7074 + ... + 7873.

Almost surely, 2^5978800 is an apocalyptic number.

5978800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5978800 is an abundant number, since it is smaller than the sum of its proper divisors (8386228).

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

5978800 is a wasteful number, since it uses less digits than its factorization.

5978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965 (or 14954 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 5978800 is about 2445.1584815713. The cubic root of 5978800 is about 181.4977902981.

The spelling of 5978800 in words is "five million, nine hundred seventy-eight thousand, eight hundred".