542760800 has 36 divisors (see below), whose sum is σ = 1325016756. Its totient is φ = 217104000.

The previous prime is 542760793. The next prime is 542760811. The reversal of 542760800 is 8067245.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 338426 + ... + 340025.

It is an arithmetic number, because the mean of its divisors is an integer number (36806021).

Almost surely, 2^542760800 is an apocalyptic number.

542760800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542760800 is an abundant number, since it is smaller than the sum of its proper divisors (782255956).

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

542760800 is a wasteful number, since it uses less digits than its factorization.

542760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678471 (or 678458 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 542760800 is about 23297.2273028358. The cubic root of 542760800 is about 815.7106977770.

The spelling of 542760800 in words is "five hundred forty-two million, seven hundred sixty thousand, eight hundred".