53786880 has 432 divisors, whose sum is σ = 229582080. Its totient is φ = 11354112.

The previous prime is 53786839. The next prime is 53786881. The reversal of 53786880 is 8868735.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53786881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854706 + ... + 1854734.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 2^53786880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

53786880 is an abundant number, since it is smaller than the sum of its proper divisors (175795200).

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

53786880 is a wasteful number, since it uses less digits than its factorization.

53786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 53786880 is about 7333.9539131358. The cubic root of 53786880 is about 377.4784105309.

The spelling of 53786880 in words is "fifty-three million, seven hundred eighty-six thousand, eight hundred eighty".