53772880 has 80 divisors (see below), whose sum is σ = 144169344. Its totient is φ = 18270720.

The previous prime is 53772863. The next prime is 53772883. The reversal of 53772880 is 8827735.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53772883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72994 + ... + 73726.

Almost surely, 2^53772880 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 53772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72084672).

53772880 is an abundant number, since it is smaller than the sum of its proper divisors (90396464).

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

53772880 is a wasteful number, since it uses less digits than its factorization.

53772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 53772880 is about 7332.9993863357. Note that the first 3 decimals coincide. The cubic root of 53772880 is about 377.4456568412.

The spelling of 53772880 in words is "fifty-three million, seven hundred seventy-two thousand, eight hundred eighty".