57122800 has 120 divisors (see below), whose sum is σ = 163846656. Its totient is φ = 18712320.

The previous prime is 57122773. The next prime is 57122809. The reversal of 57122800 is 822175.

It is a super-3 number, since 3×57122800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57122809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63957 + ... + 64843.

Almost surely, 2^57122800 is an apocalyptic number.

57122800 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 57122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81923328).

57122800 is an abundant number, since it is smaller than the sum of its proper divisors (106723856).

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

57122800 is a wasteful number, since it uses less digits than its factorization.

57122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 57122800 is about 7557.9626884498. The cubic root of 57122800 is about 385.1262867884.

Adding to 57122800 its reverse (822175), we get a palindrome (57944975).

It can be divided in two parts, 57122 and 800, that multiplied together give a square (45697600 = 6760²).

The spelling of 57122800 in words is "fifty-seven million, one hundred twenty-two thousand, eight hundred".