53876800 has 84 divisors (see below), whose sum is σ = 134046976. Its totient is φ = 21312000.

The previous prime is 53876789. The next prime is 53876803. The reversal of 53876800 is 867835.

It is a self number, because there is not a number n which added to its sum of digits gives 53876800.

It is not an unprimeable number, because it can be changed into a prime (53876803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241489 + ... + 241711.

Almost surely, 2^53876800 is an apocalyptic number.

53876800 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 53876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67023488).

53876800 is an abundant number, since it is smaller than the sum of its proper divisors (80170176).

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

53876800 is a wasteful number, since it uses less digits than its factorization.

53876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 53876800 is about 7340.0817434140. The cubic root of 53876800 is about 377.6886474337.

The spelling of 53876800 in words is "fifty-three million, eight hundred seventy-six thousand, eight hundred".