52778880 has 576 divisors, whose sum is σ = 244885680. Its totient is φ = 10321920.

The previous prime is 52778857. The next prime is 52778881. The reversal of 52778880 is 8887725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×52778880² = 5571220348108800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52778881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104632 + ... + 3104648.

Almost surely, 2^52778880 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 52778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122442840).

52778880 is an abundant number, since it is smaller than the sum of its proper divisors (192106800).

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

52778880 is a wasteful number, since it uses less digits than its factorization.

52778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 52778880 is about 7264.9074323077. The cubic root of 52778880 is about 375.1054636703.

The spelling of 52778880 in words is "fifty-two million, seven hundred seventy-eight thousand, eight hundred eighty".