5760400 has 30 divisors (see below), whose sum is σ = 13840322. Its totient is φ = 2304000.

The previous prime is 5760383. The next prime is 5760427. The reversal of 5760400 is 40675.

It can be written as a sum of positive squares in 3 ways, for example, as 2027776 + 3732624 = 1424^2 + 1932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6801 + ... + 7600.

Almost surely, 2^5760400 is an apocalyptic number.

5760400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5760400 is an abundant number, since it is smaller than the sum of its proper divisors (8079922).

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

5760400 is a wasteful number, since it uses less digits than its factorization.

5760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14419 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 5760400 is about 2400.0833318866. The cubic root of 5760400 is about 179.2603392151.

The spelling of 5760400 in words is "five million, seven hundred sixty thousand, four hundred".