53777620 has 48 divisors (see below), whose sum is σ = 122160528. Its totient is φ = 19768320.

The previous prime is 53777599. The next prime is 53777623. The reversal of 53777620 is 2677735.

It can be written as a sum of positive squares in 8 ways, for example, as 4384836 + 49392784 = 2094^2 + 7028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53777620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53777623) 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, 102960 + ... + 103480.

It is an arithmetic number, because the mean of its divisors is an integer number (2545011).

Almost surely, 2^53777620 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 53777620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080264).

53777620 is an abundant number, since it is smaller than the sum of its proper divisors (68382908).

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

53777620 is a wasteful number, since it uses less digits than its factorization.

53777620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 53777620 is about 7333.3225757497. The cubic root of 53777620 is about 377.4567469412.

The spelling of 53777620 in words is "fifty-three million, seven hundred seventy-seven thousand, six hundred twenty".