53777280 has 128 divisors (see below), whose sum is σ = 176280480. Its totient is φ = 13934592.

The previous prime is 53777267. The next prime is 53777287. The reversal of 53777280 is 8277735.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53777287) 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, 70662 + ... + 71418.

Almost surely, 2^53777280 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 53777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88140240).

53777280 is an abundant number, since it is smaller than the sum of its proper divisors (122503200).

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

53777280 is a wasteful number, since it uses less digits than its factorization.

53777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 53777280 is about 7333.2993938609. The cubic root of 53777280 is about 377.4559514705.

The spelling of 53777280 in words is "fifty-three million, seven hundred seventy-seven thousand, two hundred eighty".