5794880400 has 120 divisors (see below), whose sum is σ = 20625520160. Its totient is φ = 1545298560.

The previous prime is 5794880381. The next prime is 5794880401. The reversal of 5794880400 is 40884975.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (5794880401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257482 + ... + 279081.

Almost surely, 2^5794880400 is an apocalyptic number.

5794880400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5794880400 is an abundant number, since it is smaller than the sum of its proper divisors (14830639760).

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

5794880400 is a wasteful number, since it uses less digits than its factorization.

5794880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536590 (or 536573 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5794880400 is about 76124.1118174787. Note that the first 3 decimals coincide. The cubic root of 5794880400 is about 1796.1729801661.

The spelling of 5794880400 in words is "five billion, seven hundred ninety-four million, eight hundred eighty thousand, four hundred".