52771800 has 96 divisors (see below), whose sum is σ = 164699280. Its totient is φ = 13977600.

The previous prime is 52771787. The next prime is 52771801. The reversal of 52771800 is 817725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52771801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168444 + ... + 168756.

Almost surely, 2^52771800 is an apocalyptic number.

52771800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82349640).

52771800 is an abundant number, since it is smaller than the sum of its proper divisors (111927480).

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

52771800 is a wasteful number, since it uses less digits than its factorization.

52771800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 52771800 is about 7264.4201420347. The cubic root of 52771800 is about 375.0886901336.

It can be divided in two parts, 527 and 71800, that added together give a palindrome (72327).

The spelling of 52771800 in words is "fifty-two million, seven hundred seventy-one thousand, eight hundred".