53777864 has 64 divisors (see below), whose sum is σ = 123171840. Its totient is φ = 21510720.

The previous prime is 53777863. The next prime is 53777891. The reversal of 53777864 is 46877735.

53777864 = T₁₅₆₀ + T₁₅₆₁ + ... + T₁₆₀₂.

It is not an unprimeable number, because it can be changed into a prime (53777863) 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, 54899 + ... + 55869.

It is an arithmetic number, because the mean of its divisors is an integer number (1924560).

Almost surely, 2^53777864 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 53777864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585920).

53777864 is an abundant number, since it is smaller than the sum of its proper divisors (69393976).

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

53777864 is a wasteful number, since it uses less digits than its factorization.

53777864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its digits is 987840, while the sum is 47.

The square root of 53777864 is about 7333.3392121189. The cubic root of 53777864 is about 377.4573178064.

The spelling of 53777864 in words is "fifty-three million, seven hundred seventy-seven thousand, eight hundred sixty-four".