54378800 has 60 divisors (see below), whose sum is σ = 149316336. Its totient is φ = 18643200.

The previous prime is 54378787. The next prime is 54378823. The reversal of 54378800 is 887345.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6911 + ... + 12510.

Almost surely, 2^54378800 is an apocalyptic number.

54378800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54378800 is an abundant number, since it is smaller than the sum of its proper divisors (94937536).

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

54378800 is a wasteful number, since it uses less digits than its factorization.

54378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446 (or 19435 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 54378800 is about 7374.1982615061. The cubic root of 54378800 is about 378.8580676785.

The spelling of 54378800 in words is "fifty-four million, three hundred seventy-eight thousand, eight hundred".