542378800 has 30 divisors (see below), whose sum is σ = 1303066028. Its totient is φ = 216951360.

The previous prime is 542378797. The next prime is 542378803. The reversal of 542378800 is 8873245.

It is an interprime number because it is at equal distance from previous prime (542378797) and next prime (542378803).

It is a super-3 number, since 3×542378800³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542378800.

It is not an unprimeable number, because it can be changed into a prime (542378803) 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, 677574 + ... + 678373.

Almost surely, 2^542378800 is an apocalyptic number.

542378800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542378800 is an abundant number, since it is smaller than the sum of its proper divisors (760687228).

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

542378800 is a wasteful number, since it uses less digits than its factorization.

542378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355965 (or 1355954 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 542378800 is about 23289.0274592994. The cubic root of 542378800 is about 815.5192846549.

The spelling of 542378800 in words is "five hundred forty-two million, three hundred seventy-eight thousand, eight hundred".