53740800 has 216 divisors, whose sum is σ = 197695680. Its totient is φ = 14284800.

The previous prime is 53740793. The next prime is 53740837. The reversal of 53740800 is 804735.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172645 + ... + 172955.

Almost surely, 2^53740800 is an apocalyptic number.

53740800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847840).

53740800 is an abundant number, since it is smaller than the sum of its proper divisors (143954880).

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

53740800 is a wasteful number, since it uses less digits than its factorization.

53740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53740800 is about 7330.8116876646. The cubic root of 53740800 is about 377.3705826565.

The spelling of 53740800 in words is "fifty-three million, seven hundred forty thousand, eight hundred".