5760320400 has 120 divisors (see below), whose sum is σ = 20502512160. Its totient is φ = 1536082560.

The previous prime is 5760320381. The next prime is 5760320411. The reversal of 5760320400 is 40230675.

It is a happy number.

5760320400 is a `hidden beast` number, since 57 + 603 + 2 + 0 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×5760320400² = 66362582221312320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255882 + ... + 277481.

It is an arithmetic number, because the mean of its divisors is an integer number (170854268).

Almost surely, 2^5760320400 is an apocalyptic number.

5760320400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5760320400 is an abundant number, since it is smaller than the sum of its proper divisors (14742191760).

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

5760320400 is a wasteful number, since it uses less digits than its factorization.

5760320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533390 (or 533373 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5760320400 is about 75896.7746350265. The cubic root of 5760320400 is about 1792.5951350918.

The spelling of 5760320400 in words is "five billion, seven hundred sixty million, three hundred twenty thousand, four hundred".